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

Fixexd point theory and applications

Esmaeil Nazari¹  Saeid Askari¹  Mehdi Ramezani¹ 

[1] Department of Mathematics, Tafresh University, Tafresh, Iran

关键词: fixed point;    q-uniformly smooth Banach space;    variational inequality;    iterative algorithm;    inverse strongly accretive operator;    47H09;    47H10;    49J05;   

DOI  :  10.1186/s13663-015-0264-y

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY