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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