Iterative schemes for approximating solution of nonlinear operators in Banach spaces

被引：0
|
作者：
Siwaporn Saewan
Preedaporn Kanjanasamranwong
Poom Kumam
Yeol Je Cho
机构：
[1] Thaksin University,Department of Mathematics and Statistics, Faculty of Science
[2] King Mongkut’s University of Technology Thonburi,Department of Mathematics, Faculty of Science
[3] Gyeongsang National University,Department of Mathematics Education and RINS
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
generalized ; -projection operators; system of generalized Ky Fan’s inequalities; totally quasi-; -asymptotically nonexpansive mapping; variational inequalities; maximal monotone operators;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The purpose of this paper is to present a new modified Halpern-Mann type iterative scheme by using the generalized f-projection operator for finding a common element in the set of zeroes of a system of maximal monotone operators, the set of fixed points of a totally quasi-ϕ-asymptotically nonexpansive mapping and the set of solutions of a system of generalized Ky Fan’s inequalities in a uniformly smooth and strictly convex Banach space with the Kadec-Klee property. Furthermore, we show that our proposed iterative scheme converges strongly to a common element of the sets mentioned above.
引用
收藏
相关论文
共 50 条
12345