Results 51 to 60 of about 316 (157)
Three-step iterations for total asymptotically nonexpansive mappings in CAT(0) spaces
, 2017 In this paper, we establish strong and ?-convergence theorems of modified three-step iterations for total asymptotically nonexpansive mapping which is wider than the class asymptotically nonexpansive mappings in the framework of CAT(0) spaces ...
Gurucharan Saluja, Mihai Postolache
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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- -nonexpansive mapping and an asymptotically quasi-nonexpansive mapping , defined on a nonempty closed convex subset of a ...
Mukhamedov Farrukh, Saburov Mansoor
doaj
Fixed point theorems for nonexpansive mappings on nonconvex sets in UCED Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2002 It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T:C→C has a fixed point whenever C is a finite union of nonempty weakly compact convex subsets of a Banach space X which is uniformly convex in every direction.
Wei-Shih Du +2 more
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Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces [PDF]
, 2017 In this work, a new concept of nonself total asymptotically nonexpansive mapping is introduced and an iterative process is considered for two nonself totally asymptotically nonexpansive mappings.
Dutta, Hemen +2 more
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Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular [PDF]
, 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 ...
Bauschke, Heinz H, +7 more
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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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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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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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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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