%0 Journal Article
%T Proximity Point Properties for Admitting Center Maps
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Labbaf Ghasemi, Mohammad Hosein
%A Haddadi, Mohammad Reza
%A Eftekhari, Noha
%D 2019
%\ 07/01/2019
%V 15
%N 1
%P 159-167
%! Proximity Point Properties for Admitting Center Maps
%K â€ŽAdmitting center map
%K Nonexpansive map
%K Cochebyshev set
%K Best proximity pair
%R 10.22130/scma.2018.79127.368
%X 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.
%U http://scma.maragheh.ac.ir/article_35727_15419203e3dc5caf276cf58d24d3fb14.pdf