On Best Proximity Points in Metric and Banach Spaces

被引：32
|
作者：
Espinola, Rafa [1 ]
Fernandez-Leon, Aurora [1 ]
机构：
[1] Univ Seville, Fac Matemat, Dept Anal Matemat, E-41080 Seville, Spain
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2011年 / 63卷 / 03期
关键词：
CONVERGENCE; EXISTENCE;
D O I：
10.4153/CJM-2011-007-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence of iterates to such proximity points. We take two different approaches, each one leading to different results that complete, if not improve, other similar results in the theory. Results in this paper stand for Banach spaces, geodesic metric spaces and metric spaces. We also include an appendix on CAT(0) spaces where we study the particular behavior of these spaces regarding the problems we are concerned with.
引用
收藏
页码：533 / 550
页数：18
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