A general iterative scheme for k-strictly pseudo-contractive mappings and optimization problems

被引：7

作者：

Jung, Jong Soo ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期

关键词：

k-strictly pseudo-contractive mapping; Nonexpansive mapping; Fixed points; Contraction; Optimization problem; Strongly positive bounded linear operator; VISCOSITY APPROXIMATION METHODS; FIXED-POINTS; HILBERT-SPACES; NONEXPANSIVE-MAPPINGS; BANACH-SPACES; NONLINEAR MAPPINGS; STRONG-CONVERGENCE; ALGORITHMS;

D O I：

10.1016/j.amc.2010.12.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new general iterative scheme for finding fixed points of a strictly pseudo-contractive mapping and then prove that the sequence generated by the proposed iterative scheme converges strongly to a fixed point of the mapping, which is a solution of a certain optimization problem related to a strongly positive bounded linear operator. Additional results of the main result are also obtained. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：5581 / 5588

页数：8

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