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Dissertations / Theses on the topic 'Contraction mapping and fixed point'

Author: Grafiati

Published: 7 June 2025

Last updated: 16 July 2025

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1

Abbas, Mujahid. "Soft Set Theory: Generalizations, Fixed Point Theorems, and Applications." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/48470.

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Mathematical models have extensively been used in problems related to engineering, computer sciences, economics, social, natural and medical sciences etc. It has become very common to use mathematical tools to solve, study the behavior and different aspects of a system and its different subsystems. Because of various uncertainties arising in real world situations, methods of classical mathematics may not be successfully applied to solve them. Thus, new mathematical theories such as probability theory and fuzzy set theory have been introduced by mathematicians and computer scientists to

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2

Kinde, Haragewen Abraham. "Contraction and fixed point behavior of certain linear fractional transformations." CSUSB ScholarWorks, 1992. https://scholarworks.lib.csusb.edu/etd-project/1049.

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3

Farmer, Matthew Ray. "Applications in Fixed Point Theory." Thesis, University of North Texas, 2005. https://digital.library.unt.edu/ark:/67531/metadc4971/.

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Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point theory. Another key result in the field is a theorem due to Browder, Göhde, and Kirk involving Hilbert spaces and nonexpansive mappings. Several applications of Banach's contraction principle are made. Some of these applications involve obtaining new metrics on a space, forcing a continuous map to have a fixed point, and using conditions on the boundary of a closed ball in a Banach space to obtain a fixed point. Finally, a develop

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4

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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5

Tatjana, Žikić. "Egzistencija nepokretne tačke u fazi strukturama." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2002. https://www.cris.uns.ac.rs/record.jsf?recordId=73363&source=NDLTD&language=en.

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U ovoj tezi dokazane su teoreme o nepokretnoj tački koje predstavljaju jednoznačna i vi&scaron;eznačna uop&scaron;tenja Banahovog principa kontrakcije u verovatnosnim metričkim i fazi metričkim prostorima. Dokazana je teorema koja predstavlja uop&scaron;tenje teoreme o nepokretnoj tački za verovatnosnu ^-kontrakciju / :  S —* S,gde je  ( S ,  J7, T ) kompletan Mengerov prostor. Uveden je pojam jake (6n)-kontrakcije i dokazana je teorema koja predstavlja uop&scaron;tenje teoreme Sehgala i Bharuche-Reid kada je preslikavanje / :  S —> S jaka (6n)-kont

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6

Jenq, Horng-Lianq, and 鄭宏亮. "THE FIXED POINT INDEX FOR 1-SET-CONTRACTION MAPPINGS IN LOCALLY CONVEX SPACES." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/18903592563018262178.

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7

Yeh, Mei-Chiao, and 葉梅嬌. "Fixed Point Theorm for Contractive Type Set-Valued Mappings." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/04584898030434188495.

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8

Wu, Chien-Lung, and 吳建龍. "Fixed Point Theorem of Uniformly Locally Geraghty Contractive Mappings on Connected Complete Metric Spaces." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/86818039267794315774.

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碩士<br>國立高雄師範大學<br>數學系<br>105<br>In this paper, we first introduce the concept of uniformly locally contractive mapping. Second, complete metric space is modified to be a connected complete metric space. Third, Our generalization of the Banach contraction principle replaces the global contraction hypothesis with the local contraction hypothesis. Then we investigate the behavior for mappings satisfying uniformly locally Geraghty contraction on connected complete metric space. Finally, we establish a new existence and uniqueness result of fixed point theorem.

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9

Sun, Wei-Yi, та 孫維毅. "Periodic Points and Fixed Points for the Weaker (Φ,ϕ)-Contractive Mappings in Complete Generalized Metric Spaces". Thesis, 2012. http://ndltd.ncl.edu.tw/handle/24760494217308018228.

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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>100<br>We introduce the notion of weaker (Φ,ϕ)-contractive mapping in completemetric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature

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10

PENG, SHAO-CHUAN, та 彭紹銓. "Fixed point theory for the R-function type φ-set contraction". Thesis, 2018. http://ndltd.ncl.edu.tw/handle/6kz674.

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11

Liu, Cheng Te, and 劉拯德. "Fixed point theorems for a k-ses contraction map on a nearly-convex set." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/50433974040337341503.

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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>In this paper, the first part, we establish a fixed point theorem for a k-set contraction map on the class Q(X,Y) , ( see [ 1 ] ) . The second part, we generalize the KKM property on a convex set [ 2 ] to he KKM* property on a nearly-convex set, and then we establish a fixed point theorem for this class.

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12

Kuo, Ke-Wei, and 郭克偉. "Fixed point theorems for a weaker Meir-Keeler tpye set contraction in cone metric spaces." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/43408249705048133104.

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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 first define a weaker Meir-Keeler type function ψ:intP∪{ } → intP∪{ } in a cone metric space with a cone P. Under this weaker Meir-Keeler type function, we show the fixed point theorems for the family KKM(X,X) in cone metric spaces.

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13

Dinevari, Toktam. "Fixed point results for multivalued contractions on graphs and their applications." Thèse, 2015. http://hdl.handle.net/1866/12344.

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Nous présentons dans cette thèse des théorèmes de point fixe pour des contractions multivoques définies sur des espaces métriques, et, sur des espaces de jauges munis d’un graphe. Nous illustrons également les applications de ces résultats à des inclusions intégrales et à la théorie des fractales. Cette thèse est composée de quatre articles qui sont présentés dans quatre chapitres. Dans le chapitre 1, nous établissons des résultats de point fixe pour des fonctions multivoques, appelées G-contractions faibles. Celles-ci envoient des points connexes dans des points connexes et contractent

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14

謝祥煒. "The study of fixed point theorem for the cyclic Meir-Keeler type contraction on metric-like space." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/37579226626658149494.

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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>104<br>In this paper, we introduce the notion of cyclic Meir-Keeler type contractive mappings, and then we establish the fixed point theorems for these mappings on complete metric-like spaces.

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15

Chen, Hung-Jui, та 陳泓睿. "The fixed point results for the F(ψ,ξ)- contraction having KKM property via measure of noncompactness". Thesis, 2018. http://ndltd.ncl.edu.tw/handle/p9ycuw.

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16

"On completeness of partial metric spaces, symmetric spaces and some fixed point results." Thesis, 2016. http://hdl.handle.net/10500/23206.

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The purpose of the thesis is to study completeness of abstract spaces. In particular, we study completeness in partial metric spaces, partial metric type spaces, dislocated metric spaces, dislocated metric type spaces and symmetric spaces that are generalizations of metric spaces. It is well known that complete metric spaces have a wide range of applications. For instance, the classical Banach contraction principle is phrased in the context of complete metric spaces. Analogously, the Banach's xed point theorem and xed point results for Lipschitzian maps are discussed in this context,

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17

Aphane, Maggie. "On completeness of partial metric spaces, symmetric spaces and some fixed point results." Thesis, 2016. http://hdl.handle.net/10500/23223.

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The purpose of the thesis is to study completeness of abstract spaces. In particular, we study completeness in partial metric spaces, partial metric type spaces, dislocated metric spaces, dislocated metric type spaces and symmetric spaces that are generalizations of metric spaces. It is well known that complete metric spaces have a wide range of applications. For instance, the classical Banach contraction principle is phrased in the context of complete metric spaces. Analogously, the Banach's xed point theorem and xed point results for Lipschitzian maps are discussed in this context,

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18

Dazé, Caroline. "Théorèmes de point fixe et principe variationnel d'Ekeland." Thèse, 2010. http://hdl.handle.net/1866/3777.

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Le principe de contraction de Banach, qui garantit l'existence d'un point fixe d'une contraction d'un espace métrique complet à valeur dans lui-même, est certainement le plus connu des théorèmes de point fixe. Dans plusieurs situations concrètes, nous sommes cependant amenés à considérer une contraction qui n'est définie que sur un sous-ensemble de cet espace. Afin de garantir l'existence d'un point fixe, nous verrons que d'autres hypothèses sont évidemment nécessaires. Le théorème de Caristi, qui garantit l'existence d'un point fixe d'une fonction d'un espace métrique complet à valeur dans lu

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