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Fixed point results for Geraghty-weak contractions in ordered partial rectangular b-metric spaces

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Abstract

In 2017, Parvaneh et al. (J Math Anal 8(1):183–201, 2017) further extended rectangular metric space by introduced partial rectangular b-metric space and utilized the same to prove some fixed point results. Almost at the same time, Roshan et al. (Nonlinear Anal Model Control 21(5):614–634, 2016) generalized Geraghty fixed point results by proving some fixed point results in b-rectangular metric space. In this paper, we prove some ordered-theoretic fixed point results for Geraghty-weak contraction in ordered partial rectangular b-metric space. Our results extend and improve many existing results in literature. We also furnish an example which exhibits the utility of our results.

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Acknowledgements

All the authors are grateful to both the learned referees for their fruitful comments towards the improvement of this paper.

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Authors and Affiliations

  1. Department of Mathematics, faculty of Science, Shree Guru Gobind Singh tricentenary University, Gurugram, Haryana, India

    Mohammad Asim

  2. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Mohammad Imdad

  3. Department of Applied Mathematics, Shri Vaishanav Institute of Technology and Science, Indore, India

    Satish Shukla

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  1. Mohammad Asim
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  2. Mohammad Imdad
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  3. Satish Shukla
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Correspondence to Satish Shukla.

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Asim, M., Imdad, M. & Shukla, S. Fixed point results for Geraghty-weak contractions in ordered partial rectangular b-metric spaces. Afr. Mat. 32, 811–827 (2021). https://doi.org/10.1007/s13370-020-00862-6

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