A hybrid iteration scheme for equilibrium problems and common fixed point problems of generalized quasi- ϕ -asymptotically nonexpansive mappings in Banach spaces

Fixexd point theory and applications

Songnian He¹  Jing Zhao¹ 

[1] College of Science, Civil Aviation University of China, Tianjin, P.R. China

关键词: equilibrium problem;    generalized quasi-ϕ-asymptotically nonexpansive mapping;    strong convergence;    common fixed point;    Banach space;   

DOI  :  10.1186/1687-1812-2012-33

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we introduce an iterative algorithm for finding a common element of the set of common fixed points of a finite family of closed generalized quasi-ϕ-asymptotically nonexpansive mappings and the set of solutions of equilibrium problem in Banach spaces. Then we study the strong convergence of the algorithm. Our results improve and extend the corresponding results announced by many others. Mathematics Subject Classification (2000): 47H09; 47H10; 47J05; 54H25.

【 授权许可】

CC BY