Fixed points of asymptotically regular nonexpansive mappings on nonconvex sets [PDF]
Abstract and Applied Analysis, 2003 It is shown that if X is a Banach space and C is a union of finitely many nonempty, pairwise disjoint, closed, and connected subsets {Ci:1≤i≤n } of X, and each Ci has the fixed-point property (FPP) for asymptotically regular nonexpansive mappings, then ...
Wieslawa Kaczor
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Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition
Axioms, 2021 In this paper, we establish some existence of fixed-point results for some asymptotically regular multivalued mappings satisfying Kannan-type contractive condition without assuming compactness of the underlying metric space or continuity of the mapping.
Pradip Debnath +2 more
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Contractive Inequalities for Some Asymptotically Regular Set-Valued Mappings and Their Fixed Points [PDF]
Symmetry, 2020 The symmetry concept is a congenital characteristic of the metric function. In this paper, our primary aim is to study the fixed points of a broad category of set-valued maps which may include discontinuous maps as well. To achieve this objective, we newly extend the notions of orbitally continuous and asymptotically regular mappings in the set-valued ...
Manuel De La Sen +2 more
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On Fixed Points of Asymptotically Regular Mappings [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1987 Some results on fixed points of asymptotically regular mappings are obtained in complete metric spaces and normed linear spaces.The structure of the set of common fixed points is also discussed in Banach spaces. Our work generalizes essentially known results of Das and Naik, Fisher, Jaggi, Jungck, Rhoades, Singh and Tiwari and several others.
Rhoades, B. E. +3 more
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Strong convergence theorem of a hybrid projection algorithm for a family of quasi-ϕ-asymptotically nonexpansive mappings [PDF]
Opuscula Mathematica, 2010 The main purpose of this paper is by using a new hybrid projection iterative algorithm to prove some strong convergence theorems for a family of quasi-\(\phi\)-asymptotically nonexpansive mappings.
J. F. Tang +3 more
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Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems
Abstract and Applied Analysis, 2023 This paper introduces a novel category of nonlinear mappings and provides several theorems on their existence and convergence in Banach spaces, subject to various assumptions.
Rahul Shukla, Rekha Panicker
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Fixed point results for a class of asymptotically regular maps in g-metric space with order n [PDF]
Surveys in Mathematics and its Applications, 2021 In 2005, Lj. B. Ciric studied fixed points of asymptotically regular mappings [Math. Commun. 10(2005), 111-114]. The results of that study were extended by several authors.
Mohamed Amine Ighachane +1 more
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Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular [PDF]
Fixed Point Theory and Applications, 2012 Because of Minty's classical correspondence between firmly nonexpansive mappings and maximally monotone operators, the notion of a firmly nonexpansive mapping has proven to be of basic importance in fixed point theory, monotone operator theory, and convex optimization.
Bauschke, Heinz H, +3 more
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On Uniformly Generalized Lipschitzian Mappings
Fixed Point Theory and Applications, 2010 We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric ...
Soliman AhmedH, Imdad M
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Surjectivity of the asymptotic Borel map in Carleman–Roumieu ultraholomorphic classes defined by regular sequences [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021 AbstractWe study the surjectivity of, and the existence of right inverses for, the asymptotic Borel map in Carleman–Roumieu ultraholomorphic classes defined by regular sequences in the sense of E. M. Dyn’kin. We extend previous results by J. Schmets and M. Valdivia, by V.
Javier Jiménez-Garrido +2 more
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