Best proximity point theorems for cyclic p-contractions with some consequences and applications
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Vilnius University Press
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space. Also, we provide some illustrative examples that compared our results with some earliest. Finally, by taking into account a fixed point consequence of our main result we give an existence and uniqueness result for a common solution of a system of second order boundary value problems. © 2021 Authors. Published by Vilnius University Press.
Description
Keywords
Best proximity point, Boundary value problem, Cyclic p-contractions, Fixed point
Journal or Series
Nonlinear Analysis: Modelling and Control
WoS Q Value
Q1
Scopus Q Value
Q1
Volume
26
Issue
1
