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Open AccessArticle

Extended Rectangular M-Metric Spaces and Fixed Point Results

1
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1136; https://doi.org/10.3390/math7121136
Received: 23 October 2019 / Revised: 15 November 2019 / Accepted: 18 November 2019 / Published: 21 November 2019
(This article belongs to the Special Issue Applications in Theoretical and Computational Fixed Point Problems)
In this paper, we enlarge the classes of rectangular M b -metric spaces and extended rectangular b-metric spaces by considering the class of extended rectangular M r ξ -metric spaces and utilize the same to prove an analogue of Banach contraction principle in such spaces. We adopt an example to highlight the utility of our main result. Finally, we apply our result to examine the existence and uniqueness of solution for a system of Fredholm integral equation. View Full-Text
Keywords: extended rectangular M-metric space; fixed point extended rectangular M-metric space; fixed point
MDPI and ACS Style

Asim, M.; Nisar, K.S.; Morsy, A.; Imdad, M. Extended Rectangular M-Metric Spaces and Fixed Point Results. Mathematics 2019, 7, 1136.

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