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On fixed point theorems of monotone functions in Ordered metric spaces

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Abstract

The purpose of this paper is to establish some coincidence point results for f-nondecreasing self-mapping satisfying certain rational type contractions in the frame work of a metric space endowed with partial order. Some consequences of the main result are given by involving integral type contractions in the space. Some examples are illustrated to support our results. Further, as an application we prove the existence of a unique solution of integral equation by the method of upper and lower solutions.

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Acknowledgements

The authors thank the editor and anonymous referees for their valuable suggestion which improved the content of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Vignan’s Foundation for Science, Technology and Research, Vadlamudi, Andhra Pradesh, 522213, India

    K. Kalyani

  2. Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, Ethiopia

    N. Seshagiri Rao & Belay Mitiku

Authors
  1. K. Kalyani
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  2. N. Seshagiri Rao
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  3. Belay Mitiku
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All authors contributed equally to the writing of this paper. All authors read and approved the final manuscript.

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Correspondence to K. Kalyani.

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Communicated by Samy Ponnusamy.

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Kalyani, K., Seshagiri Rao, N. & Mitiku, B. On fixed point theorems of monotone functions in Ordered metric spaces. J Anal 29, 1237–1250 (2021). https://doi.org/10.1007/s41478-021-00308-7

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  • DOI: https://doi.org/10.1007/s41478-021-00308-7

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