ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

Proximity Point Properties for Admitting Center Maps

Journal: Sahand Communications in Mathematical Analysis (Vol.15, No. 1)

Publication Date:

Authors : ; ; ;

Page : 159-167

Keywords : ‎Admitting center map; Nonexpansive map; Cochebyshev set; Best proximity pair;

Source : Download Find it from : Google Scholarexternal

Abstract

In this work we investigate a class of admitting center maps on a metric space. We state and prove some fixed point and best proximity point theorems for them. We obtain some results and relevant examples. In particular, we show that if $X$ is a reflexive Banach space with the Opial condition and $T:Crightarrow X$ is a continuous admiting center map, then $T$ has a fixed point in $X.$ Also, we show that in some conditions, the set of all best proximity points is nonempty and compact.

Last modified: 2019-07-27 18:10:17