TY - JOUR
ID - 35727
TI - Proximity Point Properties for Admitting Center Maps
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Labbaf Ghasemi, Mohammad Hosein
AU - Haddadi, Mohammad Reza
AU - Eftekhari, Noha
AD - Department of pure mathematics, Faculty of mathematical sciences, Shahrekord University, Shahrekord 88186-34141, Iran.
AD - Faculty of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran.
Y1 - 2019
PY - 2019
VL - 15
IS - 1
SP - 159
EP - 167
KW - â€ŽAdmitting center map
KW - Nonexpansive map
KW - Cochebyshev set
KW - Best proximity pair
DO - 10.22130/scma.2018.79127.368
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_35727.html
L1 - https://scma.maragheh.ac.ir/article_35727_15419203e3dc5caf276cf58d24d3fb14.pdf
ER -