New iterative methods for a common solution of fixed points for pseudo-contractive mappings and variational inequalities

Fixexd point theory and applications

Rabian Wangkeeree¹  Kamonrat Nammanee² 

[1] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand;Department of Mathematics, School of Science, University of Phayao, Phayao, Thailand

关键词: pseudo-contractive mapping;    monotone mapping;    strong convergence theorem;   

DOI  :  10.1186/1687-1812-2013-233

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce three iterative methods for finding a common element of the set of fixed points for a continuous pseudo-contractive mapping and the solution set of a variational inequality problem governed by continuous monotone mappings. Strong convergence theorems for the proposed iterative methods are proved. Our results improve and extend some recent results in the literature. MSC:47H05, 47H09, 47J25, 65J15.

【 授权许可】

CC BY