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Dissertations / Theses on the topic 'Common fixed point theorem'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

Sondjaja, Mutiara. "Sperner's Lemma Implies Kakutani's Fixed Point Theorem." Scholarship @ Claremont, 2008. https://scholarship.claremont.edu/hmc_theses/214.

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Kakutani’s fixed point theorem has many applications in economics and game theory. One of its most well known applications is in John Nash’s paper [8], where the theorem is used to prove the existence of an equilibrium strategy in n-person games. Sperner’s lemma, on the other hand, is a combinatorial result concerning the labelling of the vertices of simplices and their triangulations. It is known that Sperner’s lemma is equivalent to a result called Brouwer’s fixed point theorem, of which Kakutani’s theorem is a generalization. A natural question that arises is whether we can prove Kakutani’s

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2

Nazaikinskii, Vladimir, Bert-Wolfgang Schulze, Boris Sternin, and Victor Shatalov. "A Lefschetz fixed point theorem for manifolds with conical singularities." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2507/.

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3

Cloutier, John. "A Combinatorial Analog of the Poincaré–Birkhoff Fixed Point Theorem." Scholarship @ Claremont, 2003. https://scholarship.claremont.edu/hmc_theses/145.

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Results from combinatorial topology have shown that certain combinatorial lemmas are equivalent to certain topologocal fixed point theorems. For example, Sperner’s lemma about labelings of triangulated simplices is equivalent to the fixed point theorem of Brouwer. Moreover, since Sperner’s lemma has a constructive proof, its equivalence to the Brouwer fixed point theorem provides a constructive method for actually finding the fixed points rather than just stating their existence. The goal of this research project is to develop a combinatorial analogue for the Poincare ́-Birkhoff fixed point th

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4

Sracic, Mario F. "A Self-Contained Review of Thompson's Fixed-Point-Free Automorphism Theorem." Youngstown State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1403191722.

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5

Sarkar, Koushik. "Topology of different metric spaces and fixed point theories." Thesis, University of North Bengal, 2021. http://ir.nbu.ac.in/handle/123456789/4380.

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6

Sugiyama, Toshi. "The Moduli Space of Polynomial Maps and Their Fixed-Point Multipliers." Kyoto University, 2018. http://hdl.handle.net/2433/233819.

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7

Maagli, Nadia <1987&gt. "Fixed point, game and selection theory: from the hairy ball theorem to a non hair-pulling conversation." Doctoral thesis, Università Ca' Foscari Venezia, 2016. http://hdl.handle.net/10579/8840.

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This PHD dissertation develops fixed point theory issues. Fixed point theory is at the heart of the nonlinear analysis. One amongst the first and famous results is Brouwer's fixed point theorem (1910). Two years after, Brouwer proved another topological result. The first chapter of this thesis is dedicated to this result. Namely, the hairy ball theorem. We introduced an equivalent version of the hairy ball theorem in the form of a `fixed point theorem'. In this way, ensuring the proof of this equivalent theorem gives a new insight on the hairy ball theorem. On the other hand, the theorem of

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8

Okon, Thomas. "When graph meets diagonal: an approximative access to fixed point theory." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2001. http://nbn-resolving.de/urn:nbn:de:swb:14-1000223151750-26347.

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9

Peterson, Elisha. "Combinatorial Proofs of Generalizations of Sperner's Lemma." Scholarship @ Claremont, 2000. https://scholarship.claremont.edu/hmc_theses/124.

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In this thesis, we provide constructive proofs of serveral generalizations of Sperner's Lemma, a combinatorial result which is equivalent to the Brouwer Fixed Point Theorem. This lemma makes a statement about the number of a certain type of simplices in the triangulation of a simplex with a special labeling. We prove generalizations for polytopes with simplicial facets, for arbitrary 3-polytopes, and for polygons. We introduce a labeled graph which we call a nerve graph to prove these results. We also suggest a possible non-constructive proof for a polytopal generalization.

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10

Garcia, Ignacio de Mateo. "Iterative matrix-free computation of Hopf bifurcations as Neimark-Sacker points of fixed point iterations." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://dx.doi.org/10.18452/16478.

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Klassische Methoden für die direkte Berechnung von Hopf Punkten und andere Singularitaten basieren auf der Auswertung und Faktorisierung der Jakobimatrix. Dieses stellt ein Hindernis dar, wenn die Dimensionen des zugrundeliegenden Problems gross genug ist, was oft bei Partiellen Diferentialgleichungen der Fall ist. Die betrachteten Systeme haben die allgemeine Darstellung f ( x(t), α) für t grösser als 0, wobei x die Zustandsvariable, α ein beliebiger Parameter ist und f glatt in Bezug auf x und α ist. In der vorliegenden Arbeit wird ein Matrixfreies Schema entwicklet und untersucht, dass

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11

Galves, Ana Paula Tremura. "O teorema de Lefschetz-Hopf e sua relação com outros teoremas clássicos da topologia /." São José do Rio Preto : [s.n.], 2009. http://hdl.handle.net/11449/94208.

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Orientador: Maria Gorete Carreira Andrade<br>Banca: Denise de Mattos<br>Banca: Ermínia de Lourdes Campello Fanti<br>Resumo: Em Topologia, mais especificamente em Topologia Algébrica, temos alguns resultados clássicos que de alguma forma estão relacionados. No desenvolvimento deste trabalho, estudamos alguns desses resultados, a saber: Teorema de Lefschetz-Hopf, Teorema do Ponto Fixo de Lefschetz, Teorema do Ponto Fixo de Brouwer, Teorema da Curva de Jordan e o Teorema Clássico de Borsuk-Ulam. Além disso, tivemos como objetivo principal mostrar relações existentes entre esses teoremas a partir

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12

Kang, Jinghong. "The Computational Kleinman-Newton Method in Solving Nonlinear Nonquadratic Control Problems." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/30435.

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This thesis deals with non-linear non-quadratic optimal control problems in an autonomous system and a related iterative numerical method, the Kleinman-Newton method, for solving the problem. The thesis proves the local convergence of Kleinman-Newton method using the contraction mapping theorem and then describes how this Kleinman-Newton method may be used to numerically solve for the optimal control and the corresponding solution. In order to show the proof and the related numerical work, it is necessary to review some of earlier work in the beginning of Chapter 1 [Zhang], an

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Galves, Ana Paula Tremura [UNESP]. "O teorema de Lefschetz-Hopf e sua relação com outros teoremas clássicos da topologia." Universidade Estadual Paulista (UNESP), 2009. http://hdl.handle.net/11449/94208.

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Made available in DSpace on 2014-06-11T19:26:55Z (GMT). No. of bitstreams: 0 Previous issue date: 2009-02-27Bitstream added on 2014-06-13T18:30:54Z : No. of bitstreams: 1 galves_apt_me_sjrp.pdf: 719114 bytes, checksum: 3cc285d329c0d629cf2c6ff65c13a201 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Em Topologia, mais especificamente em Topologia Algébrica, temos alguns resultados clássicos que de alguma forma estão relacionados. No desenvolvimento deste trabalho, estudamos alguns desses resultados, a saber: Teorema de Lefschetz-Hopf, Teorema do Ponto Fixo de L

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14

Debbiche, Hanene. "Sur des problèmes de lubrification stationnaires et instationnaires non isothermes." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSES027/document.

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L’objectif de ce travail de thèse est d’étudier quelques problèmes elliptiques et paraboliques d’écoulement de fluides non Newtoniens incompressibles et non isothermes gouvernés par l’équation aux dérivées partielles de Stokes avec la condition de Tresca sur une partie du bord quand la viscosité dépend à la fois de la température, de la vitesse et du module du tenseur des taux de déformations. Dans le premier chapitre, on a fait une introduction générale. Dans le deuxième chapitre, nous nous intéressons au couplage entre le système de Stokes et l’équation de la chaleur en régime stationnaire.

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Rocha, Suelen de Souza. "Soluções clássicas para uma equação elíptica semilinear não homogênea." Universidade Federal da Paraíba, 2011. http://tede.biblioteca.ufpb.br:8080/handle/tede/8051.

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Submitted by Maike Costa (maiksebas@gmail.com) on 2016-03-29T13:33:49Z No. of bitstreams: 1 arquivo total.pdf: 5320246 bytes, checksum: 158dd460a20ce46c96d4a34623612264 (MD5)<br>Made available in DSpace on 2016-03-29T13:33:49Z (GMT). No. of bitstreams: 1 arquivo total.pdf: 5320246 bytes, checksum: 158dd460a20ce46c96d4a34623612264 (MD5) Previous issue date: 2011-08-25<br>This work is mainly concerned with the existence and nonexistence of classical solution to the nonhomogeneous semilinear equation Δu + up + f(x) = 0 in Rn, u > 0 in Rn, when n 3, where f 0 is a Hölder continuous fun

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LIMA, Annaxsuel Araújo de. "O método de sub e supersolução e aplicações a problemas elípticos." Universidade Federal de Campina Grande, 2011. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1241.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-25T17:20:25Z No. of bitstreams: 1 ANNAXSUEL ARAÚJO DE LIMA - DISSERTAÇÃO PPGMAT 2011..pdf: 581866 bytes, checksum: cc44cd422d4a48ddad0354f215805918 (MD5)<br>Made available in DSpace on 2018-07-25T17:20:25Z (GMT). No. of bitstreams: 1 ANNAXSUEL ARAÚJO DE LIMA - DISSERTAÇÃO PPGMAT 2011..pdf: 581866 bytes, checksum: cc44cd422d4a48ddad0354f215805918 (MD5) Previous issue date: 2011-04<br>Neste trabalho, apresentamos métodos envolvendo sub e supersolução para estudar a existência de solução de certas equações elípticas.<br>In

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17

Tang, Shun. "Le théorème de concentration et la formule des points fixes de Lefschetz en géométrie d’Arakelov." Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112015/document.

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Dans les années quatre-vingts dix du siècle dernier, R. W. Thomason a démontréun théorème de concentration pour la K-théorie équivariante algébrique sur lesschémas munis d’une action d’un groupe algébrique G diagonalisable. Comme d’habitude,un tel théorème entraîne une formule des points fixes de type Lefschetz qui permetde calculer la caractéristique d’Euler-Poincaré équivariante d’un G-faisceau cohérent surun G-schéma propre en termes d’une caractéristique sur le sous-schéma des points fixes.Le but de cette thèse est de généraliser les résultats de R.W. Thomason dans le contextede la géométr

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18

SILVA, Geizane Lima da. "Soluções blow-up para uma classe de equações elípticas." Universidade Federal de Campina Grande, 2010. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1231.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-24T16:01:03Z No. of bitstreams: 1 GEIZANE LIMA DA SILVA - DISSERTAÇÃO PPGMAT 2010..pdf: 596736 bytes, checksum: d02e34d40e7147e46c734ba297c181bf (MD5)<br>Made available in DSpace on 2018-07-24T16:01:03Z (GMT). No. of bitstreams: 1 GEIZANE LIMA DA SILVA - DISSERTAÇÃO PPGMAT 2010..pdf: 596736 bytes, checksum: d02e34d40e7147e46c734ba297c181bf (MD5) Previous issue date: 2010-03<br>Capes<br>Neste trabalho estudamos a existência de soluções positivas do tipo blow-up para uma classe de equações elípticas semilineares. Usamos arg

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19

Sendrowski, Janek. "Feigenbaum Scaling." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635.

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In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. A more intricate approach drawing from renormalization theory as well as a short consideration of some of the topological properties will also be presented. I was furthermore trying to put great emphasis on diagrams throughout the text to make the contents more comprehensible and intuitive.

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20

Ayed, Hela. "Analyse d'un problème d'interaction fluide-structure avec des conditions aux limites de type frottement à l'interface." Thesis, Normandie, 2017. http://www.theses.fr/2017NORMC213/document.

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Cette thèse est consacrée à l'analyse mathématique et numérique d'un problème d'interaction fluide-structure stationnaire, couplant un fluide newtonien, visqueux et incompressible, modélisé par les équations de Stokes 2D et une structure déformable, décrite par les équations d'une poutre 1D. Le fluide et la structure sont couplés via une condition aux limites de type frottement à l'interface.Dans l'étude théorique, nous montrons un résultat d'existence et unicité de solutions faibles, dans le cadre de petits déplacements, du problème de couplage fluide structure avec une condition de glissemen

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21

He, Yuan. "Analyse et contrôle de modèles de dynamique de populations." Thesis, Bordeaux 1, 2013. http://www.theses.fr/2013BOR14918/document.

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La présente thèse est divisée en deux parties. La première partie concerne l'analyse mathématique et la contrôlabilité exacte à zéro pour une catégorie de systèmes structurés décrivant la dynamique d'une population d'insectes. La seconde partie est consacrée à l'étude de la stabilité de la conductivité d'un système de réaction diffusion modélisant l'activité électrique du coeur.Dans le chapitre 2, on considère que la population d'adultes se diffuse dans la vignoble,la fonction de la croissance des individus à chaque stade dépend des variations climatiques et de la variété des raisins. En utili

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22

Marino, Greta. "A-priori estimates for some classes of elliptic problems." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4116.

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L'obiettivo di questa tesi è di studiare alcuni aspetti di un potente strumento ampiamente utilizzato in analisi matematica, che è rappresentato dalle stime a priori. Infatti, le stime a priori hanno un ruolo chiave nella teoria delle equazioni differenziali a derivate parziali e nel calcolo delle variazioni, perché sono intimamente legate all'esistenza di soluzione per un dato problema. Nella tesi vengono presentati tre lavori scritti durante il periodo del dottorato, in ciascuno dei quali vengono utilizzate le stime a priori. Il primo lavoro, scritto in collaborazione con il Prof. S. Moscon

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Moreira, Ceilí Marcolino. "O método de sub e supersoluções para soluções fracas." Universidade Federal de Juiz de Fora (UFJF), 2014. https://repositorio.ufjf.br/jspui/handle/ufjf/4702.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-05-26T17:30:30Z No. of bitstreams: 1 ceilimarcolinomoreira.pdf: 628590 bytes, checksum: 89404f2fdb6f6a266713327a91a21c05 (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-05-29T19:02:09Z (GMT) No. of bitstreams: 1 ceilimarcolinomoreira.pdf: 628590 bytes, checksum: 89404f2fdb6f6a266713327a91a21c05 (MD5)<br>Made available in DSpace on 2017-05-29T19:02:09Z (GMT). No. of bitstreams: 1 ceilimarcolinomoreira.pdf: 628590 bytes, checksum: 89404f2fdb6f6a266713327a91a21c05 (MD5) Previous is

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ALMEIDA, Orlando Batista de. "Teoria do Grau e aplicações." Universidade Federal de Campina Grande, 2006. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1139.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-10T17:20:01Z No. of bitstreams: 1 ORLANDO BATISTA DE ALMEIDA - DISSERTAÇÃO PPGMAT 2006..pdf: 835416 bytes, checksum: ebd7a7b886fc9fa8eddfddb98da9aa05 (MD5)<br>Made available in DSpace on 2018-07-10T17:20:01Z (GMT). No. of bitstreams: 1 ORLANDO BATISTA DE ALMEIDA - DISSERTAÇÃO PPGMAT 2006..pdf: 835416 bytes, checksum: ebd7a7b886fc9fa8eddfddb98da9aa05 (MD5) Previous issue date: 2006-05<br>Nesta dissertação, seguindo o trabalho do Berestycki [7] e idéias desenvolvidas por Alves & de Figueiredo [3] e Alves, Corrêa & Gonçalve

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VIEIRA, Francisca Leidmar Josué. "Sobre a existência de soluções estacionárias para um sistema de reação-difusão." Universidade Federal de Campina Grande, 2009. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1209.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-22T14:08:51Z No. of bitstreams: 1 FRANCISCA LEIDMAR JOSUÉ VIEIRA - DISSERTAÇÃO PPGMAT 2009..pdf: 290173 bytes, checksum: 21a058b9a6d5dfdd80b44bb2f900d25f (MD5)<br>Made available in DSpace on 2018-07-22T14:08:51Z (GMT). No. of bitstreams: 1 FRANCISCA LEIDMAR JOSUÉ VIEIRA - DISSERTAÇÃO PPGMAT 2009..pdf: 290173 bytes, checksum: 21a058b9a6d5dfdd80b44bb2f900d25f (MD5) Previous issue date: 2009-03<br>Capes<br>O resumo foi escrito utilizando formulas e equações matemáticas que não fora possíveis serem transcritas aqui. Para a vi

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Ndao, Mamadou. "Estimation de la vitesse de retour à l'équilibre dans les équations de Fokker-Planck." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLV036/document.

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Ce mémoire de thèse est consacré à l’équation de Fokker-Planckpartial_ f=∆f+div(Ef).Il est subdivisé en deux parties :une partie linéaire et une partie non linéaire. Dans la partie linéaire on considère un champ de vecteur E(x) dépendant seulement de x. Cette partie est constituée des chapitres 3, 4 et 5. Dans le chapitre 3 on montre que l’opérateur linéaire Lf :=∆ f + div(E f ) est le générateur d’un semi-groupe fortement continu (SL(t))_{t≥0} dans tous les espaces L^p. On y établit également que le semi-groupe (SL(t))_{t≥0} est positif et ultracontractif. Dans le chapitre 4 nous montrons com

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27

Vážanová, Gabriela. "Existence a vlastnosti globálních řešení funkcionálních diferenciálních rovnic smíšeného typu." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2020. http://www.nusl.cz/ntk/nusl-433560.

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Dizertační práce se věnuje funkcionálním diferenciálním rovnicím smíšeného typu. Poskytuje kritéria pro existenci globálních a semi-globálních řešení diferenciálních systémů smíšeného typu. Metody použité v teto práci spočívají v sestavení vhodných operátorů pro diferenciální rovnice a prokázání existence jejich pevných bodů. Tyto pevné body jsou potom použity ke konstrukci řešení rovnic s předcházením a zpožděním. V důkazech tvrzení jsou použity monotónní iterační metoda a Schauderovy-Tychonovovy věty o existenci pevného bodu. V obou případech jsou uvedeny také odhady řešení. Pokud je použita

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Karliczek, Martin. "Elements of conditional optimization and their applications to order theory." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2014. http://dx.doi.org/10.18452/17085.

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In dieser Arbeit beweisen wir für Optimierungsprobleme in L0-Moduln relevante Resultate und untersuchen Anwendungen für die Darstellung von Präferenzen. Im ersten Kapitel geht es um quasikonkave, monotone und lokale Funktionen von einem L0-Modul X nach L0, die wir robust darstellen. Im zweiten Kapitel entwickeln wir das Ekeland’sche Variationsprinzip für L0-Moduln, die eine L0-Metrik besitzen. Wir beweisen eine L0 -Variante einer Verallgemeinerung des Ekeland’schen Theorems. Der Beweis des Brouwerschen Fixpunktsatzes für Funktionen, die auf (L0)^d definiert sind, wird in Kapitel 3 behandelt.

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Stötzner, Ailyn. "Optimal Control of Thermoviscoplasticity." Universitätsverlag der Technischen Universität Chemnitz, 2018. https://monarch.qucosa.de/id/qucosa%3A31887.

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This thesis is devoted to the study of optimal control problems governed by a quasistatic, thermoviscoplastic model at small strains with linear kinematic hardening, von Mises yield condition and mixed boundary conditions. Mathematically, the thermoviscoplastic equations are given by nonlinear partial differential equations and a variational inequality of second kind in order to represent the elastic, plastic and thermal effects. Taking into account thermal effects we have to handle numerous mathematical challenges during the analysis of the thermoviscoplastic model, mainly due to the low inte

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Chang, Li-Chien, and 張豊傑. "A common fixed point theorem in compact menger spaces." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/06189470866136944608.

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碩士<br>國立新竹教育大學<br>進修部數理教育碩士班(數學組)<br>92<br>In the paper we prove a contractive type common fixed point theorem for four self-mappings in a Menger space （X,F,t ） . This theorem in fact extends some results of common fixed point theorems for the case that X is a metric space.

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LI-CHIEH, CHANG, and 張豊傑. "A COMMON FIXED POINT THEOREM IN COMPACT MENGER SPACES." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/75478440562978738857.

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碩士<br>國立新竹師範學院<br>數理教育碩士班數學組<br>92<br>In the paper we prove a contractive type common fixed point theorem for four self-mappings in a Menger space（ F, ）. This theorem in fact extends some results of common fixed point theorems for the case that X is a metric space.

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羅錫康. "A Common Fixed Point Theorem in Complete G-Metric Spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/28083360650483600229.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>98<br>In this paper, we prove some coincidence points for mapping satisfying (CBW) conditions on complete G-Metric Spaces, also we showed if mappings f and g are commute at their coincidence points, then they have a common fixed point result.

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Lin, Ya-Ting, and 林雅婷. "A Common Fixed Point Theorem in Cone Rectangular Metric Spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/54054991222959575768.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>98<br>Abstract In this paper, we first introduce the function phi which satisfies the condition (CBW), and then prove a common fixed point theorem in a cone rectangular metric space.

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陳榴明. "COMMON FIXED POINT THEOREM FOR SET-VALUED MAPPINGS IN MENGER SPACES." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/04898075478171543425.

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碩士<br>國立新竹教育大學<br>進修部數理教育碩士班(數學組)<br>92<br>In this paper, we shall prove a common fixed point theorem in probabilistic metric space of set-valued functions with　-contractive condition, which generalize some results of V.M. Sehgal & A.T. Bharucha-Reid [12].

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Hong, Zong Gan, and 洪宗乾. "Some common fixed point theorems in menger spaces." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/68672967172743646591.

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Chung, Chi-Sheng, and 鐘啟昇. "Common fixed point theorems in cone rectangular metric spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/46970867471098689673.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>98<br>In this paper, we get some common fixed theorems in complete cone rectangular metric spaces under contractive condition (CBW). Our results extend many authors’ results [2,7].

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Tsai, Pei-Shan, and 蔡佩珊. "FIXED POINT AND COMMON FIXED POINT THEOREMS FOR THE MEIR-KEELER TYPE FUNCTIONS IN CONE BALL-METRIC SPACES." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/67084109561686820121.

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Chuang, Kao-Sung, and 莊高松. "Common fixed point theorems for the stronger Meir-Keeler cone-type function in cone ball-metric spaces." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/47189510505705509635.

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碩士<br>國立新竹教育大學<br>人資處數學教育碩士班<br>99<br>In this paper, we introduce the concept of cone ball-metric spaces and we prove fixed point results on such spaces for mappings satisfying a contraction involving a stronger Meir-Keeler cone-type function.

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Huang, Yu Jen, and 黃裕仁. "Vector Quasi-Equilibrium Problems and Vector Quasi-Variational Inclusion Problems With Applications to Common Fixed Point Theorems and Optimization Problems." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/15736342929981634275.

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碩士<br>國立彰化師範大學<br>數學系所<br>93<br>Abstract(I) In this paper, we first establish the existence theorems of generalized vector quasi-equilibrium problems. From the above results, we establish the existence theorems of weighted mixed vector variational-like inequality problems for multivalued maps, common fixed point theorems for two multivalued maps and mathematical program with equilibrium constraint as applications. Abstract(II) In this paper, we establish the existence theorems of system of vector quasi-variational inclusion problems and the existence theorems of mathematical program with sy

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Huang, Yuh Jen, and 黃玉珍. "Fixed Point Theorem." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/33678969995411897390.

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CAI, XU-CHEN, and 蔡旭琛. "Fixed point theorem." Thesis, 1988. http://ndltd.ncl.edu.tw/handle/82411347389419920008.

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Hong, Chung-chien, and 洪宗乾. "Some Common Fixed Ponint Theorems in Menger Spaces." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/84752953517087618381.

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碩士<br>國立成功大學<br>應用數學系<br>84<br>Menger 空間為 probabilistic metric space 的子集(PM空間). PM空間是將原本一定的距離便成機率性的關係.既是任意兩點x與y用一分配函數 F_{x,y}(ε)來代表x與y的距離小於ε的機率是多少(在Appendix的 Introduction中對Menger空間有更詳細的敘述).而有關PM空間中討論定點問題,其共有二個主要的結果.在第一章是將黃永裕老師在Menger空間中的定理cf[4]改成再度量空間上.第二章亦是黃永裕老師的一個定理cf[5],做一些條件上的放鬆而得到的結果. This paper Consists of two main results. In chapter 1, we obtain a reduce form in metric spaces for Huang's result which is described in complete Menger spaces.In chapter

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姜淑梅. "Fixed point theorem, cycle point theorems and their applications." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/08929230492999461471.

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碩士<br>國立新竹教育大學<br>人資處數學教育碩士班<br>94<br>Abstract In this paper, we establish a fixed theorem of a and apply this fixed theorem to get an existence theorem concerning generalized variational inequalities. We also establish some cycle point theorems for three set-valued mappings. (特殊符號無法顯現請參閱PDF檔)

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Lin, Su-chin, and 林素貞. "A FIXED POINT THEOREM IN MENGER SPACES." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/88418895357133060333.

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碩士<br>國立新竹教育大學<br>進修部數理教育碩士班(數學組)<br>92<br>In this paper, we prove a fixed point theorem for set-valued mapping from a Menger space (X, □, t) into K(X) with a contractive condition. This fixed point theorem is a new result about Hausdorff measure on Menger space.

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Kao, Lien-Yung, and 高連庸. "A Survey Of Poincare-Birkhoff Fixed Point Theorem." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/86225291482813380620.

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碩士<br>臺灣大學<br>數學研究所<br>98<br>This paper further modifies Brown and Neumann’s proof to make it as clear as possible, clarifying what the previous renditions have left unclear.Moreover, the periodic trajectories problem of billiard is chosen as a application of the Poincare-Birkhoff fixed point theorem.

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Tang, Fu-Sheng, and 湯富勝. "A generalization of Brezis-Browder’s fixed point theorem for set-valued functionsA generalization of Brezis-Browder’s fixed point theorem for set-valued functionsA generalization of Brezis-Browder’s fixed point theorem for set-valued functionsA gene." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/cqsp97.

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碩士<br>國立台北師範學院<br>數學暨資訊教育學系(含數學教育碩士班)<br>93<br>We consider the bounded above and upper semicontinuous functions on complete metric spaces. We establish some results about set-valued mapping, and apply them to established some fixed points of set-valued mapping, which are generalizations of those in Caristi [2].

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Huang, Yi-Shan, and 黃怡珊. "A Common Fixed Point in Cone Metric Spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/10760954246339620553.

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LIN, CHIH-YEN, and 林志彥. "A Study of Brouwer's Fixed Point Theorem and Nash's Equilibrium." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/00776892857036802768.

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碩士<br>中原大學<br>應用數學研究所<br>95<br>The purpose of this thesis is to give a detail study of the well known Brouwer's fixed point theorem and Nash's equilibrium theorem. Section 1 is an introduction. Notions about triangulations of simplexes are recalled in section 2, the definitions of the affine independence, affne combination, affine hull, convex hull, barycentric coordinate, simplex, face, and triangulation are given and some basic properties of them are listed. In section 3, the definitions of barycenters of simplexes and sequences of ascending simplexes are introduced. After some discussions,

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"Combinatorial analogs of Brouwer's fixed point theorem on a bounded polyhedron." Massachusetts Institute of Technology, Alfred P. Sloan School of Management, 1985. http://hdl.handle.net/1721.1/2126.

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Wu, Shu-Han, and 吳樹恆. "Generalization of Shih-Dong's combinational fixed point theorem to finite distributive lattices." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/09311531637943657275.

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博士<br>國立臺灣師範大學<br>數學系<br>103<br>Shih-Dong's combinational fixed point theorem asserts that if a map from the n-dimensional hypercube into itself satisfies that all the Boolean eigenvalues of the Boolean Jacobian matrix are zero for each element in the hypercube, then it has a unique fixed point. Its equivalent contrapositive form has biological implications. Our goal is to provide an extension of Shih-Dong's theorem into all finite distributive lattices. Our method of proof is based on Shih-Dong's “collective effect method” as well as G. Birkhoff's representation theorem for finite distributiv

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