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New fixed point theorems on b-metric spaces with applications to coupled fixed point theory

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Abstract

Let (X, d) be a complete b-metric space endowed with a partial order relation and \(f:X\rightarrow X\) be a Ćirić type operator. In this paper, an extended study of the fixed point equation \(x=f(x), \ x\in X\), is considered. As an application, coupled fixed point results are given in the same framework. Our results generalize some recent theorems in the literature.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University Cluj-Napoca, Kogălniceanu Street, No. 1, Cluj-Napoca, Romania

    Monica-Felicia Bota & Adrian Petruşel

  2. Department of Pharmaceutical Sciences, Western Vasile Goldiş University of Arad, Arad, Romania

    Liliana Guran

  3. Academy of Romanian Scientists, Bucharest, Romania

    Adrian Petruşel

Authors
  1. Monica-Felicia Bota
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  2. Liliana Guran
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  3. Adrian Petruşel
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Correspondence to Monica-Felicia Bota.

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Bota, MF., Guran, L. & Petruşel, A. New fixed point theorems on b-metric spaces with applications to coupled fixed point theory. J. Fixed Point Theory Appl. 22, 74 (2020). https://doi.org/10.1007/s11784-020-00808-2

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  • DOI: https://doi.org/10.1007/s11784-020-00808-2

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