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Best proximity point theorems for cyclic p-contractions with some consequences and applications
(Vilnius University Press, 2021) Aslantas M.; Sahin H.; Altun I.
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.