Results 11 to 20 of about 316 (157)
Robustness of Krasnoselski-Mann's Algorithm for Asymptotically Nonexpansive Mappings [PDF]
ISRN Mathematical Analysis, 2011 Iterative approximation of fixed points of nonexpansive mapping is a very active theme in many aspects of mathematical and engineering areas, in particular, in image recovery and signal processing. Because the errors usually occur in few places, it is necessary to show that whether the iterative algorithm is robust or not. In the present work, we prove
Tang, Yu-Chao, Liu, Li-Wei
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Abstract and Applied Analysis, 2012 We introduce an algorithm for solving the split common fixed point problem for quasi-total asymptotically nonexpansive uniformly Lipschitzian mapping in Hilbert spaces.
Jing Na, Lin Wang, Zhaoli Ma
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Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications [PDF]
Journal of Applied Mathematics, 2012 An iterative sequence for quasi--asymptotically nonexpansive multivalued mapping for modifying Halpern's iterations is introduced. Under suitable conditions, some strong convergence theorems are proved.
Li Yi
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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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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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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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Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 The purpose of this paper is to study the convergence theorems in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces with k > 0 $k > 0$ for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically ...
Shih-sen Chang +3 more
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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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The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings [PDF]
Journal of Optimization Theory and Applications, 2015 In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature bounded above. For this purpose, we analyze the asymptotic behavior of compositions of finitely many firmly nonexpansive mappings ...
David Ariza-Ruiz +2 more
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