Strong convergence theorem for quasi- ϕ -asymptotically nonexpansive mappings in the intermediate sense in Banach spaces

Journal of inequalities and applications

Zhaoli Ma¹ 

关键词: quasi-ϕ-asymptotically nonexpansive mappings in the intermediate sense;    strong convergence;    fixed point;    generalized projection;   

DOI  :  10.1186/1029-242X-2013-306

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we modify Halpern and Mann’s iterations for finding a fixed point of an infinite family of quasi-ϕ-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces. We prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. The results presented in this paper improve and extend some recent corresponding results. MSC:47H09, 47J25.

【 授权许可】

CC BY