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JS-Metric Spaces and Fixed Point Results

In: Fixed Point Theory in Metric Spaces

Author

Listed:
  • Praveen Agarwal

    (Anand International College of Engineering, Department of Mathematics)

  • Mohamed Jleli

    (King Saud University, Department of Mathematics, College of Sciences)

  • Bessem Samet

    (King Saud University, Department of Mathematics, College of Sciences)

Abstract

In this chapter, we present a recent concept of generalized metric spaces due to Jleli and Samet [12], for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and Rodriguez-Lopez. This new concept of generalized metric spaces recovers various topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces.

Suggested Citation

  • Praveen Agarwal & Mohamed Jleli & Bessem Samet, 2018. "JS-Metric Spaces and Fixed Point Results," Springer Books, in: Fixed Point Theory in Metric Spaces, chapter 0, pages 139-153, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-2913-5_9
    DOI: 10.1007/978-981-13-2913-5_9
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