%0 Journal Article
%A Abkar, A.
%A Norouzian, M.
%T Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces
%J Iranian Journal of Mathematical Sciences and Informatics
%V 17
%N 1
%U http://ijmsi.ir/article-1-1333-en.html
%R 10.52547/ijmsi.17.1.27
%D 2022
%K Coincidence-best proximity point, Cyclic-noncyclic contraction, Quasi-cyclic-noncyclic contraction, Uniformly convex metric space.,
%X We introduce the notion of quasi-cyclic-noncyclic pair and its relevant new notion of coincidence quasi-best proximity points in a convex metric space. In this way we generalize the notion of coincidence-best proximity point already introduced by M. Gabeleh et al cite{Gabeleh}. It turns out that under some circumstances this new class of mappings contains the class of cyclic-noncyclic mappings as a subclass. The existence and convergence of coincidence-best and coincidence quasi-best proximity points in the setting of convex metric spaces are investigated.
%> http://ijmsi.ir/article-1-1333-en.pdf
%P 27-46
%& 27
%!
%9 Research paper
%L A-10-117-2
%+ Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
%G eng
%@ 1735-4463
%[ 2022