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Common fixed point theorems in modular metric spaces with applications to nonlinear integral equation of Urysohn type

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Abstract

The aim of this paper is to prove some common fixed point theorems for certain nonlinear mappings satisfying rational contractive conditions in modular metric spaces. Our results extend, generalize and includes many known results as special cases in the framework of modular metric spaces. Furthermore, we apply our results in finding solutions of nonlinear integral equation of Urysohn type.

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Acknowledgements

The authors wish to thank the editor and the referees for their useful comments and suggestions. This paper was completed while the first author was visiting the Abdus Salam School of Mathematical Sciences (ASSMS), Government College University Lahore, Pakistan as a postdoctoral fellow.

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Authors and Affiliations

  1. Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria

    Godwin Amechi Okeke & Daniel Francis

  2. Department of Mathematics, Government College University Katchery Road, Lahore, 54000, Pakistan

    Mujahid Abbas

  3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan

    Mujahid Abbas

Authors
  1. Godwin Amechi Okeke
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  2. Daniel Francis
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  3. Mujahid Abbas
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All authors contributed equally to the writing of this paper.

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Correspondence to Godwin Amechi Okeke.

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The authors declare no conflict of interests.

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Communicated by Samy Ponnusamy.

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Okeke, G.A., Francis, D. & Abbas, M. Common fixed point theorems in modular metric spaces with applications to nonlinear integral equation of Urysohn type. J Anal 30, 1069–1114 (2022). https://doi.org/10.1007/s41478-022-00393-2

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  • DOI: https://doi.org/10.1007/s41478-022-00393-2

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