Approximating Fixed Points of Some Maps in Uniformly Convex Metric Spaces

Fixexd point theory and applications

AbdulRahim Khan¹  AbdulAziz Domlo²  Hafiz Fukhar-ud-din³ 

[1] Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dahran, Saudi Arabia;Department of Mathematics, Taibah University, Madinah Munawarah, Saudi Arabia;Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan

关键词: Convex Subset;    Fixed Point Theorem;    Strong Convergence;    Nonempty Subset;    Cauchy Sequence;   

DOI  :  10.1155/2010/385986

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study strong convergence of the Ishikawa iterates of qasi-nonexpansive (generalized nonexpansive) maps and some related results in uniformly convex metric spaces. Our work improves and generalizes the corresponding results existing in the literature for uniformly convex Banach spaces.

【 授权许可】

CC BY