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
收藏
页码：1165 / 1177
页数：13
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