Strong convergence theorem for total quasi- ϕ -asymptotically nonexpansive mappings in a Banach space

Fixexd point theory and applications

Siwaporn Saewan¹ 

[1] Department of Mathematics and Statistics, Faculty of Science, Thaksin University (TSU),, Paprayom, Thailand

关键词: total quasi-ϕ-asymptotically nonexpansive multi-valued mappings;    hybrid scheme;    equilibrium problem;    variational inequality problems;    inverse-strongly monotone operator;   

DOI  :  10.1186/1687-1812-2013-297

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove strong convergence theorems to a point which is a fixed point of multi-valued mappings, a zero of an α-inverse-strongly monotone operator and a solution of the equilibrium problem. Next, we obtain strong convergence theorems to a solution of the variational inequality problem, a fixed point of multi-valued mappings and a solution of the equilibrium problem. The results presented in this paper are improvement and generalization of the previously known results.

【 授权许可】

CC BY