Extended Rectangular M r? -Metric Spaces and Fixed Point Results

Mohammad Asim, Kottakkaran Sooppy Nisar, Ahmed Morsy and Mohammad Imdad
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Mohammad Asim: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Ahmed Morsy: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Mohammad Imdad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Mathematics, 2019, vol. 7, issue 12, 1-15

Abstract: 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.

Keywords: extended rectangular M r? -metric space; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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