Algorithms for treating equilibrium and fixed point problems

Fixexd point theory and applications

Lin Wang¹  Sun Young Cho²  Xiaolong Qin³ 

[1] College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, China;Department of Mathematics, Gyeongsang National University, Jinju, Korea;Department of Mathematics, Hangzhou Normal University, Hangzhou, China

关键词: asymptotically quasi-ϕ-nonexpansive mapping;    equilibrium problem;    fixed point;    generalized projection;    zero point;   

DOI  :  10.1186/1687-1812-2013-308

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a common solution problem is investigated based on a projection algorithm. Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically quasi-ϕ-nonexpansive mappings are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property.

【 授权许可】

CC BY