Modified Iterative Algorithms for Nonexpansive Mappings
نویسندگان
چکیده
منابع مشابه
Modified Iterative Algorithms for Nonexpansive Mappings
Let H be a real Hilbert space, let S, T be two nonexpansive mappings such that F S ∩ F T / ∅, let f be a contractive mapping, and let A be a strongly positive linear bounded operator on H. In this paper, we suggest and consider the strong converegence analysis of a new two-step iterative algorithms for finding the approximate solution of two nonexpansive mappings as xn 1 βnxn 1 − βn Syn, yn αnγ...
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for all x, y ∈ C. We use F T to denote the set of fixed points of T , that is, F T {x ∈ C : Tx x}. Throughout the paper, we assume that F T / ∅. Construction of fixed points of nonlinear mappings is an important and active research area. In particular, iterative methods for finding fixed points of nonexpansive mappings have received a vast investigation; see 1–28 . It is well known that the Pic...
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in this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regularasymptotically nonexpansive mappings in a real reflexive banach space with a uniformly g$hat{a}$teaux differentiable norm. our result is applicable in $l_{p}(ell_{p})$ spaces,$1 < p
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 2009
ISSN: 1048-9533,1687-2177
DOI: 10.1155/2009/320820