Results 71 to 80 of about 1,226,787 (172)
Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings [PDF]
Proceedings of the American Mathematical Society, 1994 Let X be a uniformly convex Banach space which satisfies Opial’s condition or has a Fréchet differentiable norm, C a bounded closed convex subset of X , and
Tan, Kok-Keong, Xu, Hong-Kun
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Fixed Point Theory and Applications, 2020 In this paper, we propose an iteration algorithm for finding a split common fixed point of an asymptotically nonexpansive mapping in the frameworks of two real Banach spaces.
Yuanheng Wang, Xiuping Wu, Chanjuan Pan
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Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces
Demonstratio Mathematica, 2023 In this article, we introduce and study some strong convergence theorems for a mixed-type SP-iteration for three asymptotically nonexpansive self-mappings and three asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces.
Paimsang Papinwich, Thianwan Tanakit
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A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
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Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 2000 Some convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudo-contractive and asymptotically nonexpansive mappings in Banach space are obtained. The results presented in this paper improve and extend the corresponding results in Goebel and Kirk (1972), Kirk (1965), Liu (1996), Schu (1991) and Chang et
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A Generalized Multistep Iterative Scheme for G−Asymptotically Nonexpansive Maps With Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, a novel multistep iterative method is proposed and analyzed for the approximation of fixed points of G−asymptotically nonexpansive maps. This new scheme, which generalizes previously established iterative approaches, is developed within the framework of Banach spaces and incorporates the structure of directed graphs.
Süheyla Elmas, Smritijit Sen
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Convergence and stability of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping
Demonstratio Mathematica, 2019 In this paper, we prove strong convergence and Δ−convergence of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping (i.e. nearly asymptotically nonexpansive mapping) in partially ordered hyperbolic metric space.
Aggarwal Sajan, Uddin Izhar
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Mathematics, 2019 Mann-like iteration methods are significant to deal with convex feasibility problems in Banach spaces. We focus on a relaxed Mann implicit iteration method to solve a general system of accretive variational inequalities with an asymptotically ...
Lu-Chuan Ceng, Meijuan Shang
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce a new class of generalized contractions, called enriched (Ψ, φ)‐contractions. Within this framework, we establish several fixed‐point theorems together with corresponding convergence results, which extend and unify a range of existing results in the literature.
Muhammad Umar Javed +4 more
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Journal of Applied Mathematics, 2012 We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for a monotone mapping and fixed point of uniformly Lipschitzian relatively asymptotically nonexpansive mapping in Banach spaces ...
H. Zegeye, N. Shahzad
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