Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces

نویسندگان

  • A. Abkar Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
  • M. Norouzian Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
چکیده مقاله:

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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عنوان ژورنال

دوره 17  شماره 1

صفحات  27- 46

تاریخ انتشار 2022-04

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