A general iterative method with some control conditions for k-strictly pseudo-contractive mappings

被引：0

作者：

Jung, Jong Soo ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Pusan 604714, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2012年 / 14卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Iterative schemes; k-strictly pseudo-contractive mapping; Nonexpansive mapping; Fixed points; Contraction; Weakly asymptotically regular; Strongly positive linear operator; Hilbert space; Variational inequality; VISCOSITY APPROXIMATION METHODS; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; BANACH-SPACES; NONLINEAR MAPPINGS; STRONG-CONVERGENCE; THEOREMS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we consider a general iterative scheme for finding fixed points of k-strictly pseudo-contractive mappings for some 0 <= k < 1 in Hilbert spaces. Then, under weaker control conditions than previous ones, we establish strong convergence of the sequence generated by proposed scheme to a fixed point of the mapping, which is a solution of a certain variational inequality. The main results substantially improve and develop the previous well-known results in this area.

引用

页码：1165 / 1177

页数：13

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