Best proximity point theorems for cyclic p-contractions with some consequences and applications
Articles
Mustafa Aslantas
Çankırı Karatekin University
https://orcid.org/0000-0003-4338-3518
Hakan Sahin
Amasya University
https://orcid.org/0000-0002-4671-7950
Ishak Altun
Kirikkale University
https://orcid.org/0000-0002-7967-0554
Published 2021-01-01
https://doi.org/10.15388/namc.2021.26.21415
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Keywords

best proximity point
cyclic p-contractions
fixed point
boundary value problem

How to Cite

Aslantas M., Sahin H. and Altun I. (2021) “Best proximity point theorems for cyclic p-contractions with some consequences and applications”, Nonlinear Analysis: Modelling and Control, 26(1), pp. 113-129. doi: 10.15388/namc.2021.26.21415.

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.

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