Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- ϕ -nonexpansive mappings

Fixexd point theory and applications

Jong Kyu Kim¹ 

[1] Department of Mathematics, Kyungnam University, Masan, Korea

关键词: Asymptotically quasi-ϕ-nonexpansive mapping;    Relatively non-expansive mapping;    Generalized projection;    Equilibrium problem;    Lower semi-continuous;   

DOI  :  10.1186/1687-1812-2011-10

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property. 2000 Mathematics subject classification: 47H05, 47H09, 47H10, 47J25.

【 授权许可】

CC BY