Approximating Fixed Points of Non-Lipschitzian Mappings by Metric Projections

Fixexd point theory and applications

Davood Afkhamitaba¹  Hossein Dehghan²  Amir Gharajelo³ 

[1] Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran;Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Iran;Department of Mathematics, Roozbeh Institute of Higher Education, Zanjan, Iran

关键词: Banach Space;    Iterative Algorithm;    Nonexpansive Mapping;    Lipschitzian Mapping;    Real Banach Space;   

DOI  :  10.1155/2011/976192

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We define and study a new iterative algorithm inspired by Matsushita and Takahashi (2008). We establish a strong convergence theorem of the proposed algorithm for asymptotically nonexpansive in the intermediate sense mappings in uniformly convex and smooth Banach spaces by using metric projections. This theorem generalizes and refines Matsushita and Takahashi's strong convergence theorem which was established for nonexpansive mappings.

【 授权许可】

CC BY