Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces

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• 作者：H. Fukhar-ud-din^a ; ^b ; ^{hfdin@kfupm.edu.sa} ; ^{hfdin@yahoo.com} ; A.R. Khan^a ; ^{arahim@kfupm.edu.sa} ; Z. Akhtar^b ; ^{zahid_9896@yahoo.com}
• 关键词：primary ; 47H09 ; 47H10 ; secondary ; 49M05
• 刊名：Nonlinear Analysis
• 出版年：2012
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：September, 2012
• 卷：75
• 期：13
• 页码：4747-4760
• 文件大小：243 K

摘要

In this paper, the existence of a unique fixed point of a map satisfying a very general contractive condition on a suitable subset of a uniformly convex metric space is proved. This fixed point is approximated by averaging Krasnosel鈥檚kii iterations of a generalized nonexpansive map. Our results substantially improve and extend several known results existing in the literature.