Further Investigation on the Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities with k-Strict Pseudocontractions

被引：0

作者：

Gong, Qian-Fen ^{[1
]}

Wen, Dao-Jun ^{[2
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Comp Sci & Informat Engn, Chongqing 400067, Peoples R China

[2] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

基金：

美国国家科学基金会;

关键词：

STRONG-CONVERGENCE THEOREMS; HILBERT-SPACES; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; PSEUDO-CONTRACTIONS; NONLINEAR MAPPINGS; ITERATIVE METHOD; WEAK;

D O I：

10.1155/2014/381592

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We modify the relaxed hybrid steepest-descent methods to the case of variational inequality for finding a solution over the set of common fixed points of a finite family of strictly pseudocontractive mappings. The strongly monotone property defined on cost operator was extended to relaxed cocoercive in convergence analysis. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors.

引用

页数：7

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