A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi- ϕ -nonexpansive mappings in the intermediate sense

Fixexd point theory and applications

Yuan Qing¹  Songtao Lv² 

[1] Department of Mathematics, Hangzhou Normal University, Hangzhou, China;School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu, China

关键词: asymptotically quasi-ϕ-nonexpansive mapping;    asymptotically quasi-ϕ-nonexpansive mapping in the intermediate sense;    generalized projection;    equilibrium problem;    fixed point;   

DOI  :  10.1186/1687-1812-2013-305

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, common solutions to an equilibrium problem and a nonlinear operator equation involving a finite family of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense are discussed. Strong convergence theorems of common solutions are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. MSC:47H09, 47J25.

【 授权许可】

CC BY