Axioms, 2021 In this work, we introduce a new inertial accelerated Mann algorithm for finding a point in the set of fixed points of asymptotically nonexpansive mapping in a real uniformly convex Banach space.
Murtala Haruna Harbau +3 more
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Viscosity Methods of Asymptotically Pseudocontractive and Asymptotically Nonexpansive Mappings for Variational Inequalities [PDF]
Abstract and Applied Analysis, 2012 Let {𝑡𝑛}⊂(0,1) be such that 𝑡𝑛→1 as 𝑛→∞, let 𝛼 and 𝛽 be two positive numbers such that 𝛼+𝛽=1, and let 𝑓 be a contraction. If 𝑇 be a continuous asymptotically pseudocontractive self-mapping of a nonempty bounded closed convex subset 𝐾 of a real reflexive ...
Xionghua Wu +3 more
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Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi-I-Nonexpansive Mapping in Banach Space [PDF]
Fixed Point Theory and Applications, 2010 We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a ...
Farrukh Mukhamedov, Mansoor Saburov
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-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces [PDF]
Abstract and Applied Analysis, 2013 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 ,
Luo Yi Shi, Ru Dong Chen, Yu Jing Wu
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A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces. [PDF]
J Inequal Appl, 2018 The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically nonexpansive mapping in Hadamard ...
Chang SS, Yao JC, Wen CF, Wang L.
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Fixed points of asymptotically regular nonexpansive mappings on nonconvex sets
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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Asymptotically Nonexpansive Mappings in Modular Function Spaces [PDF]
Journal of Mathematical Analysis and Applications, 2002 Plan Andaluz de Investigación (Junta de Andalucía)
Domínguez Benavides, Tomás +2 more
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Mathematics, 2022 In a real Hilbert space, we aim to investigate two modified Mann subgradient-like methods to find a solution to pseudo-monotone variational inequalities, which is also a common fixed point of a finite family of nonexpansive mappings and an asymptotically
Lu-Chuan Ceng +2 more
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Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings [PDF]
Abstract and Applied Analysis, 2009 We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space.
Watcharaporn Cholamjiak, Suthep Suantai
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Approximation of fixed points of asymptotically nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1991 Let T T be an asymptotically nonexpansive self-mapping of a non-empty closed, bounded, and starshaped (with respect to zero)
Jürgen Schu
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