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

Abdullah Shoaib; Poom Kumam; Kanokwan Sitthithakerngkiet

doi:10.3934/math.2022762

AIMS Mathematics (May 2022)

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

Abdullah Shoaib,
Poom Kumam ,
Kanokwan Sitthithakerngkiet

Affiliations

Abdullah Shoaib: 1. Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan
Poom Kumam: 2. 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
Kanokwan Sitthithakerngkiet: 3. 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

DOI: https://doi.org/10.3934/math.2022762
Journal volume & issue: Vol. 7, no. 8
pp. 13821 – 13831

Abstract

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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).

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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