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Journal articles on the topic 'Mappings (Mathematics) – Analysis'

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Published: 4 June 2021

Last updated: 1 February 2022

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1

Bridges, Douglas, and Ray Mines. "Sequentially continuous linear mappings in constructive analysis." Journal of Symbolic Logic 63, no. 2 (1998): 579–83. http://dx.doi.org/10.2307/2586851.

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A mapping u: X → Y between metric spaces is sequentially continuous if for each sequence (xn) converging to x ∈ X, (u(xn)) converges to u(x). It is well known in classical mathematics that a sequentially continuous mapping between metric spaces is continuous; but, as all proofs of this result involve the law of excluded middle, there appears to be a constructive distinction between sequential continuity and continuity. Although this distinction is worth exploring in its own right, there is another reason why sequential continuity is interesting to the constructive mathematician: Ishihara [8] h

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2

De la Sen, Manuel, and Asier Ibeas. "Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability." Abstract and Applied Analysis 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/948749.

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This paper investigates the boundedness and convergence properties of two general iterative processes which involve sequences of self-mappings on either complete metric or Banach spaces. The sequences of self-mappings considered in the first iterative scheme are constructed by linear combinations of a set of self-mappings, each of them being a weighted version of a certain primary self-mapping on the same space. The sequences of self-mappings of the second iterative scheme are powers of an iteration-dependent scaled version of the primary self-mapping. Some applications are also given to the i

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3

Reich, Edgar. "Harmonic mappings and ouasiconformal mappings." Journal d'Analyse Mathématique 46, no. 1 (1986): 239–45. http://dx.doi.org/10.1007/bf02796588.

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4

Kutbi, Marwan Amin, та Wutiphol Sintunavarat. "On the Solution Existence of Variational-Like Inequalities Problems for Weakly Relaxedη−αMonotone Mapping". Abstract and Applied Analysis 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/207845.

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We introduce two new concepts of weakly relaxedη-αmonotone mappings and weakly relaxedη-αsemimonotone mappings. Using the KKM technique, the existence of solutions for variational-like problems with weakly relaxedη-αmonotone mapping in reflexive Banach spaces is established. Also, we obtain the existence of solution for variational-like problems with weakly relaxedη-αsemimonotone mappings in arbitrary Banach spaces by using the Kakutani-Fan-Glicksberg fixed-point theorem.

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5

El Harmouchi, Nour-eddine, Karim Chaira, and El Miloudi Marhrani. "Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph." Abstract and Applied Analysis 2020 (July 17, 2020): 1–14. http://dx.doi.org/10.1155/2020/3793606.

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In this paper, we discuss a class of mappings more general than ρ-nonexpansive mapping defined on a modular space endowed with a graph. In our investigation, we prove the existence of fixed point results of these mappings. Then, we also introduce an iterative scheme for which proves the convergence to a fixed point of such mapping in a modular space with a graph.

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6

Basha, S. Sadiq, N. Shahzad, and R. Jeyaraj. "Optimal Approximate Solutions of Fixed Point Equations." Abstract and Applied Analysis 2011 (2011): 1–9. http://dx.doi.org/10.1155/2011/174560.

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The main objective of this paper is to present some best proximity point theorems for K-cyclic mappings and C-cyclic mappings in the frameworks of metric spaces and uniformly convex Banach spaces, thereby furnishing an optimal approximate solution to the equations of the form where is a non-self mapping.

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7

Penot, Jean-Paul. "Proximal Mappings." Journal of Approximation Theory 94, no. 2 (1998): 203–21. http://dx.doi.org/10.1006/jath.1998.3201.

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8

Cho, Young-Sun, and Hark-Mahn Kim. "Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings." Abstract and Applied Analysis 2007 (2007): 1–13. http://dx.doi.org/10.1155/2007/89180.

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We investigate the generalized Hyers-Ulam stability of the functional inequalities associated with Cauchy-Jensen additive mappings. As a result, we obtain that if a mapping satisfies the functional inequalities with perturbation which satisfies certain conditions, then there exists a Cauchy-Jensen additive mapping near the mapping.

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9

Shi, S. Z., Q. Zheng, and D. M. Zhuang. "Set-Valued Robust Mappings and Approximatable Mappings." Journal of Mathematical Analysis and Applications 183, no. 3 (1994): 706–26. http://dx.doi.org/10.1006/jmaa.1994.1176.

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10

Zhang, Qing-Bang, Fu-Quan Xia, and Ming-Jie Liu. "Mixed Approximation for Nonexpansive Mappings in Banach Spaces." Abstract and Applied Analysis 2010 (2010): 1–12. http://dx.doi.org/10.1155/2010/763207.

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The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable norm. The theorem about Halpern type approximation for nonexpansive mappings is shown also. Our theorems extend and improve the correspondingly results shown recently.

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11

Arens, R., and M. Goldberg. "Homotonic Mappings." Journal of Mathematical Analysis and Applications 194, no. 2 (1995): 414–27. http://dx.doi.org/10.1006/jmaa.1995.1308.

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12

Stoica, George, and Deli Li. "Relevant mappings." Journal of Mathematical Analysis and Applications 366, no. 1 (2010): 124–27. http://dx.doi.org/10.1016/j.jmaa.2009.12.042.

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13

Kutbi, Marwan Amin, Jamshaid Ahmad та Akbar Azam. "On Fixed Points ofα-ψ-Contractive Multivalued Mappings in Cone Metric Spaces". Abstract and Applied Analysis 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/313782.

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We define the notion ofα*-ψ-contractive mappings for cone metric space and obtain fixed points of multivalued mappings in connection with Hausdorff distance function for closed bounded subsets of cone metric spaces. We obtain some recent results of the literature as corollaries of our main theorem. Moreover, a nontrivial example ofα*-ψ-contractive mapping satisfying all conditions of our main result has been constructed.

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14

Alessandrini, Giovanni, та Vincenzo Nesi. "Univalent Σ-harmonic mappings: connections with quasiconformal mappings". Journal d'Analyse Mathématique 90, № 1 (2003): 197–215. http://dx.doi.org/10.1007/bf02786556.

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15

Kangtunyakarn, Atid. "A New Iterative Algorithm for the Set of Fixed-Point Problems of Nonexpansive Mappings and the Set of Equilibrium Problem and Variational Inequality Problem." Abstract and Applied Analysis 2011 (2011): 1–24. http://dx.doi.org/10.1155/2011/562689.

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We introduce a new iterative scheme and a new mapping generated by infinite family of nonexpansive mappings and infinite real number. By using both of these ideas, we obtain strong convergence theorem for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of fixed-point problems of infinite family of nonexpansive mappings. Moreover, we apply our main result to obtain strong convergence theorems for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of comm

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16

Zhao, Yun He, and Shih-sen Chang. "Weak and Strong Convergence Theorems for Strictly Pseudononspreading Mappings and Equilibrium Problem in Hilbert Spaces." Abstract and Applied Analysis 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/169206.

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The purpose of this paper is to propose an iterative algorithm for equilibrium problem and a class of strictly pseudononspreading mappings which is more general than the class of nonspreading mappings studied recently in Kurokawa and Takahashi (2010). We explored an auxiliary mapping in our theorems and proofs and under suitable conditions, some weak and strong convergence theorems are proved. The results presented in the paper extend and improve some recent results announced by some authors.

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17

Al-Mazrooei, A. E., A. S. M. Alofi, A. Latif, and J. C. Yao. "Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems." Abstract and Applied Analysis 2014 (2014): 1–16. http://dx.doi.org/10.1155/2014/251065.

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We propose two iterative algorithms for finding a common element of the set of solutions of finite generalized mixed equilibrium problems, the set of solutions of finite variational inclusions for maximal monotone and inverse strong monotone mappings, and the set of common fixed points of infinite nonexpansive mappings and an asymptoticallyκ-strict pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove some strong and weak convergence theorems for the proposed iterative algorithms under suitable conditions.

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18

Chen, Junmin, Lijuan Zhang, and Tiegang Fan. "Viscosity approximation methods for nonexpansive mappings and monotone mappings." Journal of Mathematical Analysis and Applications 334, no. 2 (2007): 1450–61. http://dx.doi.org/10.1016/j.jmaa.2006.12.088.

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19

Abbas, Mujahid, Basit Ali, and Salvador Romaguera. "Generalized Contraction and Invariant Approximation Results on Nonconvex Subsets of Normed Spaces." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/391952.

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Wardowski (2012) introduced a new type of contractive mapping and proved a fixed point result in complete metric spaces as a generalization of Banach contraction principle. In this paper, we introduce a notion of generalizedF-contraction mappings which is used to prove a fixed point result for generalized nonexpansive mappings on star-shaped subsets of normed linear spaces. Some theorems on invariant approximations in normed linear spaces are also deduced. Our results extend, unify, and generalize comparable results in the literature.

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20

Berzig, Maher, Erdal Karapınar та Antonio-Francisco Roldán-López-de-Hierro. "Discussion on Generalized-(αψ,βφ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems". Abstract and Applied Analysis 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/259768.

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We extend the notion of (αψ,βφ)-contractive mapping, a very recent concept by Berzig and Karapinar. This allows us to consider contractive conditions that generalize a wide range of nonexpansive mappings in the setting of metric spaces provided with binary relations that are not necessarily neither partial orders nor preorders. Thus, using this kind of contractive mappings, we show some related fixed point theorems that improve some well known recent results and can be applied in a variety of contexts.

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21

Qin, Xiaolong, Tianze Wang та Sun Young Cho. "Hybrid Projection Algorithms for Asymptotically Strict Quasi-ϕ-Pseudocontractions". Abstract and Applied Analysis 2011 (2011): 1–13. http://dx.doi.org/10.1155/2011/142626.

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22

Rajbala and J. K. Prajapat. "HARMONIC MAPPINGS WITH THE FIXED ANALYTIC PART." Issues of Analysis 28, no. 1 (2021): 69–86. http://dx.doi.org/10.15393/j3.art.2021.8850.

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23

Shehu, Yekini, and Jerry N. Ezeora. "Path Convergence and Approximation of Common Zeroes of a Finite Family ofm-Accretive Mappings in Banach Spaces." Abstract and Applied Analysis 2010 (2010): 1–14. http://dx.doi.org/10.1155/2010/285376.

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LetEbe a real Banach space which is uniformly smooth and uniformly convex. LetKbe a nonempty, closed, and convex sunny nonexpansive retract ofE, whereQis the sunny nonexpansive retraction. IfEadmits weakly sequentially continuous duality mappingj, path convergence is proved for a nonexpansive mappingT:K→K. As an application, we prove strong convergence theorem for common zeroes of a finite family ofm-accretive mappings ofKtoE. As a consequence, an iterative scheme is constructed to converge to a common fixed point (assuming existence) of a finite family of pseudocontractive mappings fromKtoEun

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24

Li, Jiankui, and Zhidong Pan. "On derivable mappings." Journal of Mathematical Analysis and Applications 374, no. 1 (2011): 311–22. http://dx.doi.org/10.1016/j.jmaa.2010.08.020.

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25

Donchev, Tzanko, and Pando Georgiev. "Relaxed submonotone mappings." Abstract and Applied Analysis 2003, no. 1 (2003): 19–31. http://dx.doi.org/10.1155/s1085337503206011.

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The notions ofrelaxed submonotoneandrelaxed monotonemappings in Banach spaces are introduced and many of their properties are investigated. For example, the Clarke subdifferential of a locally Lipschitz function in a separable Banach space is relaxed submonotone on a residual subset. For example, it is shown that this property need not be valid on the whole space. We prove, under certain hypotheses, the surjectivity of the relaxed monotone mappings.

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26

Ryazanov, V., U. Srebro, and E. Yakubov. "BMO-quasiconformal mappings." Journal d'Analyse Mathématique 83, no. 1 (2001): 1–20. http://dx.doi.org/10.1007/bf02790254.

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27

Szapiel, Wojciech. "Bounded harmonic mappings." Journal d'Analyse Mathématique 111, no. 1 (2010): 47–76. http://dx.doi.org/10.1007/s11854-010-0012-5.

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28

Janowitz, M. F. "Range residuated mappings." Journal of Mathematical Analysis and Applications 113, no. 2 (1986): 390–402. http://dx.doi.org/10.1016/0022-247x(86)90312-4.

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29

Cabello Sánchez, Félix. "Quasi-additive mappings." Journal of Mathematical Analysis and Applications 290, no. 1 (2004): 263–70. http://dx.doi.org/10.1016/j.jmaa.2003.09.077.

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30

Moslehian, Mohammad Sal. "Approximately intertwining mappings." Journal of Mathematical Analysis and Applications 332, no. 1 (2007): 171–78. http://dx.doi.org/10.1016/j.jmaa.2006.10.013.

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31

Manaka, Hiroko. "Convergence Theorems for a Maximal Monotone Operator and a -Strongly Nonexpansive Mapping in a Banach Space." Abstract and Applied Analysis 2010 (2010): 1–20. http://dx.doi.org/10.1155/2010/189814.

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LetEbe a smooth Banach space with a norm . Let for any , where stands for the duality pair andJis the normalized duality mapping. With respect to this bifunction , a generalized nonexpansive mapping and a -strongly nonexpansive mapping are defined in . In this paper, using the properties of generalized nonexpansive mappings, we prove convergence theorems for common zero points of a maximal monotone operator and a -strongly nonexpansive mapping.

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32

Fletcher, Alastair, and Douglas Macclure. "Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings." Journal d'Analyse Mathématique 141, no. 2 (2020): 483–520. http://dx.doi.org/10.1007/s11854-020-0107-6.

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33

Jung, Jong Soo. "Iterative Methods for Pseudocontractive Mappings in Banach Spaces." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/643602.

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LetEa reflexive Banach space having a uniformly Gâteaux differentiable norm. LetCbe a nonempty closed convex subset ofE,T:C→Ca continuous pseudocontractive mapping withF(T)≠∅, andA:C→Ca continuous bounded strongly pseudocontractive mapping with a pseudocontractive constantk∈(0,1). Let{αn}and{βn}be sequences in(0,1)satisfying suitable conditions and for arbitrary initial valuex0∈C, let the sequence{xn}be generated byxn=αnAxn+βnxn-1+(1-αn-βn)Txn, n≥1.If either every weakly compact convex subset ofEhas the fixed point property for nonexpansive mappings orEis strictly convex, then{xn}converges str

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34

De la Sen, M. "Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/968492.

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This paper is devoted to investigate the fixed points and best proximity points of multivalued cyclic self-mappings on a set of subsets of complete metric spaces endowed with a partial order under a generalized contractive condition involving a Hausdorff distance. The existence and uniqueness of fixed points of both the cyclic self-mapping and its associate composite self-mappings on each of the subsets are investigated, if the subsets in the cyclic disposal are nonempty, bounded and of nonempty convex intersection. The obtained results are extended to the existence of unique best proximity po

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35

De la Sen, M. "On Best Proximity Point Theorems and Fixed Point Theorems for -Cyclic Hybrid Self-Mappings in Banach Spaces." Abstract and Applied Analysis 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/183174.

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This paper relies on the study of fixed points and best proximity points of a class of so-called generalized point-dependent -hybrid -cyclic self-mappings relative to a Bregman distance , associated with a Gâteaux differentiable proper strictly convex function in a smooth Banach space, where the real functions and quantify the point-to-point hybrid and nonexpansive (or contractive) characteristics of the Bregman distance for points associated with the iterations through the cyclic self-mapping. Weak convergence results to weak cluster points are obtained for certain average sequences construct

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36

Kim, Ji, and Kwang Shon. "Inverse mapping theory on split quaternions in Clifford analysis." Filomat 30, no. 7 (2016): 1883–90. http://dx.doi.org/10.2298/fil1607883k.

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We give a split regular function that has a split Cauchy-Riemann system in split quaternions and research properties of split regular mappings with values in S. Also, we investigate properties of an inverse mapping theory with values in split quaternions.

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37

Rossafi, Mohamed, Abdelkarim Kari, El Miloudi Marhrani та Mohamed Aamri. "Fixed Point Theorems for Generalized θ − ϕ − Expansive Mapping in Rectangular Metric Spaces". Abstract and Applied Analysis 2021 (10 березня 2021): 1–10. http://dx.doi.org/10.1155/2021/6642723.

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In this paper, we present the notion of θ − ϕ − expansive mapping in complete rectangular metric spaces and study various fixed point theorems for such mappings. The presented theorems extend, generalize, and improve many existing results in the literature.

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38

Kleprlík, Luděk. "Mappings of finite signed distortion: Sobolev spaces and composition of mappings." Journal of Mathematical Analysis and Applications 386, no. 2 (2012): 870–81. http://dx.doi.org/10.1016/j.jmaa.2011.08.045.

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39

Domínguez Benavides, Tomás. "Fixed point theorems for uniformly Lipschitzian mappings and asymptotically regular mappings." Nonlinear Analysis: Theory, Methods & Applications 32, no. 1 (1998): 15–27. http://dx.doi.org/10.1016/s0362-546x(97)00448-3.

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40

Ahmad, Aqeel, and M. Imdad. "Some Common Fixed Point Theorems for Mappings and Multi-valued Mappings." Journal of Mathematical Analysis and Applications 218, no. 2 (1998): 546–60. http://dx.doi.org/10.1006/jmaa.1997.5738.

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41

Shi, Luo Yi, Ru Dong Chen, and Yu Jing Wu. "-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces." Abstract and Applied Analysis 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/251705.

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New △-convergence theorems of iterative sequences for asymptotically nonexpansive mappings in CAT(0) spaces are obtained. Consider an asymptotically nonexpansive self-mapping of a closed convex subset of a CAT(0) space . Consider the iteration process , where is arbitrary and or for , where . It is shown that under certain appropriate conditions on △-converges to a fixed point of .

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42

Guu, Sy-Ming, and Wataru Takahashi. "Existence and Approximation of Attractive Points of the Widely More Generalized Hybrid Mappings in Hilbert Spaces." Abstract and Applied Analysis 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/904164.

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We study the widely more generalized hybrid mappings which have been proposed to unify several well-known nonlinear mappings including the nonexpansive mappings, nonspreading mappings, hybrid mappings, and generalized hybrid mappings. Without the convexity assumption, we will establish the existence theorem and mean convergence theorem for attractive point of the widely more generalized hybrid mappings in a Hilbert space. Moreover, we prove a weak convergence theorem of Mann’s type and a strong convergence theorem of Shimizu and Takahashi’s type for such a wide class of nonlinear mappings in a

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43

Salimi, Peyman, Calogero Vetro, and Pasquale Vetro. "Some new fixed point results in non-Archimedean fuzzy metric spaces." Nonlinear Analysis: Modelling and Control 18, no. 3 (2013): 344–58. http://dx.doi.org/10.15388/na.18.3.14014.

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In this paper, we introduce the notions of fuzzy (α,β,ϕ)-contractive mapping, fuzzy α-φ-ψ-contractive mapping and fuzzy α-β-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this paper generalize and extend some recent results in fuzzy metric spaces. Also, some examples are given to support the usability of our results.

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44

Kaczor, Wieslawa. "Fixed points of asymptotically regular nonexpansive mappings on nonconvex sets." Abstract and Applied Analysis 2003, no. 2 (2003): 83–91. http://dx.doi.org/10.1155/s1085337503205054.

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It is shown that ifXis a Banach space andCis a union of finitely many nonempty, pairwise disjoint, closed, and connected subsets{Ci:1≤i≤n }ofX, and eachCihas the fixed-point property (FPP) for asymptotically regular nonexpansive mappings, then any asymptotically regular nonexpansive self-mapping ofChas a fixed point. We also generalize the Goebel-Schöneberg theorem to some Banach spaces with Opial's property.

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45

Ren, Yijie, Junlei Li, and Yanrong Yu. "Common Fixed Point Theorems for Nonlinear Contractive Mappings in Dislocated Metric Spaces." Abstract and Applied Analysis 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/483059.

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In 1986, Matthews generalized Banach contraction mapping theorem in dislocated metric space that is a wider space than metric space. In this paper, we established common fixed point theorems for a class of contractive mappings. Our results extend the corresponding ones of other authors in dislocated metric spaces.

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46

Kamran, Tayyab. "Multivalued -weakly Picard mappings." Nonlinear Analysis: Theory, Methods & Applications 67, no. 7 (2007): 2289–96. http://dx.doi.org/10.1016/j.na.2006.09.010.

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47

Rassias, Themistocles M. "Properties of Isometric Mappings." Journal of Mathematical Analysis and Applications 235, no. 1 (1999): 108–21. http://dx.doi.org/10.1006/jmaa.1999.6363.

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48

Panov, D. A. "Multicomponent pseudo-periodic mappings." Functional Analysis and Its Applications 30, no. 1 (1996): 23–29. http://dx.doi.org/10.1007/bf02509553.

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49

Cibulka, R., M. Fabian, and A. Y. Kruger. "On semiregularity of mappings." Journal of Mathematical Analysis and Applications 473, no. 2 (2019): 811–36. http://dx.doi.org/10.1016/j.jmaa.2018.12.071.

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50

Saha, Supriti. "Fuzzy δ-continuous mappings". Journal of Mathematical Analysis and Applications 126, № 1 (1987): 130–42. http://dx.doi.org/10.1016/0022-247x(87)90081-3.

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