@article { author = {Labbaf Ghasemi, Mohammad Hosein and Haddadi, Mohammad Reza and Eftekhari, Noha}, title = {Proximity Point Properties for Admitting Center Maps}, journal = {Sahand Communications in Mathematical Analysis}, volume = {15}, number = {1}, pages = {159-167}, year = {2019}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2018.79127.368}, 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 $T:C\rightarrow X$ 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.}, keywords = {‎Admitting center map,Nonexpansive map,Cochebyshev set,Best proximity pair}, url = {https://scma.maragheh.ac.ir/article_35727.html}, eprint = {https://scma.maragheh.ac.ir/article_35727_15419203e3dc5caf276cf58d24d3fb14.pdf} }