Volume 17, Issue 1 (4-2022)
IJMSI 2022, 17(1): 27-46 |
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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-en.html
URL: http://ijmsi.ir/article-1-1333-en.html
Abstract:
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.
Keywords: Coincidence-best proximity point, Cyclic-noncyclic contraction, Quasi-cyclic-noncyclic contraction, Uniformly convex metric space.
Type of Study: Research paper |
Subject:
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