Results 21 to 30 of about 1,226,787 (172)
An ergodic theorem for asymptotically nonexpansive mappings
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1994 The purpose of this paper is to prove the following (nonlinear) mean ergodic theorem: Let E be a uniformly convex Banach space, let C be a nonempty bounded closed convex subset of E and let T: C → C be an asymptotically nonexpansive mapping. Ifexists uniformly in r = 0, 1, 2,…, then the sequence {Tnx} is strongly almost-convergent to a fixed point y of
Krüppel, Manfred, Górnicki, Jarosław
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Hybrid mixed type iteration scheme for asymptotically nonexpansive mappings and total asymptotically nonexpansive non-self mappings [PDF]
Mathematica Moravica, 2016 In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some strong convergence theorems for mentioned scheme and mappings in real Banach spaces.
Saluja G.S., G.S. Saluja
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On Asymptotically Quasi‐ϕ‐Nonexpansive Mappings in the Intermediate Sense [PDF]
Abstract and Applied Analysis, 2012 A projection iterative process is investigated for the class of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense. Strong convergence theorems of common fixed points of a family of asymptotically quasi‐ϕ‐nonexpansive mappings in the intermediate sense are established in the framework of Banach spaces.
Qin, Xiaolong, Wang, Lin
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Convergence of Implicit and Explicit Schemes for an Asymptotically Nonexpansive Mapping in 𝑞-Uniformly Smooth and Strictly Convex Banach Spaces [PDF]
Journal of Applied Mathematics, 2012 We introduce a new iterative scheme with Meir-Keeler contractions for an asymptotically nonexpansive mapping in 𝑞-uniformly smooth and strictly convex Banach spaces. We also proved the strong convergence theorems of implicit and explicit schemes.
Meng Wen, Changsong Hu, Zhiyu Wu
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Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings [PDF]
Fixed Point Theory and Applications, 2006 AbstractWe discuss convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudocontractive and asymptotically nonexpansive mappings in Banach spaces, and the boundedness of the domain and range can be dropped, generalizing theorems of Chang.
Tang Yuchao, Liu Liwei
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The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces [PDF]
Abstract and Applied Analysis, 2012 We introduce the general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups which is a unique solution of some variational inequalities.
Rabian Wangkeeree, Pakkapon Preechasilp
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On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces [PDF]
Journal of Inequalities and Applications, 2011 In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces.
Arunchai Areerat, Plubtieng Somyot
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Mathematics, 2019 In a real Hilbert space, let the notation VIP indicate a variational inequality problem for a Lipschitzian, pseudomonotone operator, and let CFPP denote a common fixed-point problem of an asymptotically nonexpansive mapping and finitely many nonexpansive
Lu-Chuan Ceng +3 more
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Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2005 Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
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On minimal asymptotically nonexpansive mappings
AIMS Mathematics, 2023 <abstract><p>In this paper we present the following two results: 1.- A characterization of the renorming invariant family of asymptotically nonexpansive mappings defined on a convex, closed and bounded set of a Banach space; 2.- A comparison of the renorming invariant family of asymptotically nonexpansive mappings with the renorming ...
Juan Rafael Acosta-Portilla +1 more
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