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JS-Metric Spaces and Fixed Point Results

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Fixed Point Theory in Metric Spaces

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.

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Authors and Affiliations

  1. Department of Mathematics, Anand International College of Engineering, Jaipur, Rajasthan, India

    Praveen Agarwal

  2. Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia

    Mohamed Jleli & Bessem Samet

Authors
  1. Praveen Agarwal
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  2. Mohamed Jleli
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  3. Bessem Samet
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Correspondence to Praveen Agarwal .

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Agarwal, P., Jleli, M., Samet, B. (2018). JS-Metric Spaces and Fixed Point Results. In: Fixed Point Theory in Metric Spaces. Springer, Singapore. https://doi.org/10.1007/978-981-13-2913-5_9

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