Viscosity approximation methods for nonexpansive semigroups in CAT ( 0 ) spaces
نویسندگان
چکیده
منابع مشابه
Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
The purpose of this paper is to study the strong convergence theorems of Moudafi's viscosity approximation methods for a nonexpansive mapping T in CAT(0) spaces without the property P. For a contraction f on C and t ∈ (0, 1), let x t ∈ C be the unique fixed point of the contraction x → tf (x) ⊕ (1 – t)Tx; i.e., x t = tf (x t) ⊕ (1 – t)Tx t and x n+1 = α n f (x n) ⊕ (1 – α n)Tx n , n ≥ 0, where ...
متن کاملStrong Convergence of Viscosity Approximation Methods for Nonexpansive Mappings in CAT(0) Spaces
Viscosity approximation methods for nonexpansive mappings in CAT 0 spaces are studied. Consider a nonexpansive self-mapping T of a closed convex subsetC of a CAT 0 spaceX. Suppose that the set Fix T of fixed points of T is nonempty. For a contraction f on C and t ∈ 0, 1 , let xt ∈ C be the unique fixed point of the contraction x → tf x ⊕ 1 − t Tx. We will show that if X is a CAT 0 space satisfy...
متن کاملConvergence Theorems for -Nonexpansive Mappings in CAT(0) Spaces
In this paper we derive convergence theorems for an -nonexpansive mappingof a nonempty closed and convex subset of a complete CAT(0) space for SP-iterative process and Thianwan's iterative process.
متن کاملImplicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces
In this paper, we study the convergence of implicit Mann iteration processes with bounded perturbations for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the -convergence results of implicit Mann iteration schemes with bounded perturbations for a family of nonexpansive mappings in CAT(0) spaces. Under certain and different conditions, we also get the s...
متن کاملGeneral Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
Copyright q 2011 Xue-song Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2013
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2013-160