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Research Article | Open Access

Interpolative Hardy Roger's type contraction on a closed ball in ordered dislocated metric spaces and some results

Abdullah Shoaib1 ( ), Poom Kumam2 ( ), Kanokwan Sitthithakerngkiet3
Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan
Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok (KMUTNB), 1518, Wongsawang, Bangsue, Bangkok 10800, Thailand
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Abstract

The aim of this paper is to find out fixed point results with interpolative contractive conditions for pairs of generalized locally dominated mappings on closed balls in ordered dislocated metric spaces. We have explained our main result with an example. Our results generalize the result of Karapınar et al. (Symmetry 2018, 11, 8).

Keywords

dominated mappingscommon fixed pointinterpolative Hardy Roger's type contractionclosed ballordered dislocated metric spaces
CLC number: 54H25, 47H10

References

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 13821-13831
DOI: 10.3934/math.2022762

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Cite this article:
Shoaib A, Kumam P, Sitthithakerngkiet K. Interpolative Hardy Roger's type contraction on a closed ball in ordered dislocated metric spaces and some results. AIMS Mathematics, 2022, 7(8): 13821-13831. https://doi.org/10.3934/math.2022762

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Received: 13 March 2022
Revised: 28 April 2022
Accepted: 05 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)