On best proximity points in metric and Banach spaces

Autor:	Espinola, Rafa, Fernandez-Leon, Aurora
Rok vydání:	2009
Předmět:	Mathematics - Functional Analysis Mathematics - Metric Geometry 54H25 47H09
Druh dokumentu:	Working Paper
Popis:	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 do it from two different approaches, leading each one of them to different results which 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. Comment: 17 pages. Accepted for publication in the Canadian Mathematical Bulletin
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0911.5263 Zobrazit plný text záznamu View this record from Arxiv