Results 31 to 40 of about 1,226,787 (172)
The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings [PDF]
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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Approximation of Fixed Points In CAT(0) Spaces Using A New Three-Step Iteration Process For Asymptotically Quasi-Nonexpansive Mapping [PDF]
In this paper, we introduce a new three-step iteration scheme and establish convergence results for the approximation of fixed points of asymptotically quasi-nonexpansive mapping in the framework of CAT(0) space and also give an example of a nonlinear ...
Tripathi, B.P., Verma, Anurag
core +1 more source
The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings
The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators. This paper studies the convergence analysis of the class of asymptotically nonexpansive mappings by the implicit midpoint ...
M. O. Aibinu, S. C. Thakur, S. Moyo
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New Common Fixed Points for Total Asymptotically Nonexpansive Mapping in CAT(0) Space [PDF]
تم دراسة التقارب و Δ- تقارب لعملية تكرار من خطوتين بأستخدام تطبيقات اللامتمددة المقاربة (asymptotically nonexpansive) واللامتمددة المقاربة كليآ (total asymptotically nonexpansive) في فضاء CAT(0) وكذلك تم مبرهنة بعض نظريات التقارب القوي باستخدام
Kadhim, Ahmed Jameel
core +1 more source
The asymptotic behavior of firmly nonexpansive mappings [PDF]
We present several new results on the asymptotic behavior of firmly nonexpansive mappings in Banach spaces and in the Hilbert ball.
Reich, Simeon, Shafrir, Itai
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On common fixed points of asymptotically nonexpansive mappings in the intermediate sense [PDF]
summary:Some strong convergence theorems of common fixed points of asymptotically nonexpansive mappings in the intermediate sense are obtained. The results presented in this paper improve and extend the corresponding results in Huang, Khan and Takahashi,
Huang, Jui-Chi +3 more
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A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces
It is shown that the notion of mappings satisfying condition (K) introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise ...
W. Laowang, B. Panyanak
doaj +1 more source
Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
In this paper, we prove the Δ-convergence of a modified proximal point algorithm for common fixed points in a CAT(0) space for different classes of generalized nonexpansive mappings including a total asymptotically nonexpansive mapping, a multivalued ...
Shamshad Husain, Nisha Singh
doaj +1 more source
In a real Hilbert space, let the VIP denote a pseudomonotone variational inequality problem with Lipschitz continuity operator, and let the CFPP indicate a common fixed-point problem of finitely many nonexpansive mappings and an asymptotically ...
Lu-Chuan Ceng +3 more
doaj +1 more source
In this paper we prove the weak convergence of the implicit iterative process with errors to a common fixed point of an asymptotically quasi I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I in Banach ...
Mukhamedov, Farrukh +3 more
core +1 more source

