TY - JOUR T1 - Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces TT - JF - IJMSI JO - IJMSI VL - 17 IS - 1 UR - http://ijmsi.ir/article-1-1333-en.html Y1 - 2022 SP - 27 EP - 46 KW - Coincidence-best proximity point KW - Cyclic-noncyclic contraction KW - Quasi-cyclic-noncyclic contraction KW - Uniformly convex metric space. N2 - 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. M3 10.52547/ijmsi.17.1.27 ER -