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Extended Rectangular M rξ -Metric Spaces and Fixed Point Results

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohammad Asim & Kottakkaran Sooppy Nisar & Ahmed Morsy & Mohammad Imdad, 2019. "Extended Rectangular M rξ -Metric Spaces and Fixed Point Results," Mathematics, MDPI, vol. 7(12), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1136-:d:289585
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