Approximation of common solutions for variational inequalities and fixed point of strict pseudo-contractions in q-uniformly smooth Banach spaces

被引：0

作者：

Nazari, Esmaeil ^{[1
]}

Askari, Saeid ^{[1
]}

Ramezani, Mehdi ^{[1
]}

机构：

[1] Tafresh Univ, Dept Math, Tafresh, Iran

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

fixed point; q-uniformly smooth Banach space; variational inequality; iterative algorithm; inverse strongly accretive operator; NONEXPANSIVE-MAPPINGS; COUNTABLE FAMILY; CONSTRUCTION;

D O I：

10.1186/s13663-015-0264-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we introduce a general iterative algorithm for finding a common element of the set of common fixed points of an infinite family of strict pseudo-contractions and the set of solutions of the variational inequalities for finite family of strongly accretive mappings in a q-uniformly smooth Banach space. Furthermore, we prove strong convergence of the iterative sequence under suitable conditions. Our results generalize some recent results.

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页码：1 / 17

页数：17

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