FIXED POINT RESULTS IN ORDERED EXTENDED RECTANGULAR b- METRIC SPACE WITH GERAGHTY-WEAK CONTRACTION
By
Mohammad Asim and Rachna Rathee
Department of Mathematics, Faculty of Science, SGT University, Gurugram (Haryana), India-122505.
Email: mailtoasim27@gmail.com, rachnarathee81@gmail.com
(Received: July 21, 2023; In format: August 31, 2023; Revised: October 07, 2023; Accepted: October 09, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53212
Abstract
In this paper, we prove some ordered-theoretic fixed point results for a Geraghty-weak contraction on an ordered extended rectangular bmetric spaces. Our results generalize several core results of the existing literature especially involving Geraghty-weak contractions and the results proved in extended rectangular b-metric space. Some examples are also furnished to exhibits the utility of our main results.
2010 Mathematics Subject Classification: 47H10, 54H25.
Keywords and Phrases: Fixed point; Geraghty-weak contraction; extended rectangular b- metric space.