دوره 17، شماره 1 - ( 1-1401 )
جلد 17 شماره 1 صفحات 46-27 |
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Abkar A, Norouzian M. Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces. IJMSI 2022; 17 (1) :27-46
URL: http://ijmsi.ir/article-1-1333-fa.html
URL: http://ijmsi.ir/article-1-1333-fa.html
Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces. مجله علوم ریاضی و انفورماتیک. 1401; 17 (1) :27-46
چکیده:
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.
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