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Nadler’s fixed point results in dislocated Hausdorff A-metric spaces

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Abstract

In this paper, we present a new notion of metric called dislocated Hausdorff A-quasi-metric spaces. We highlight some of its properties, and establish the existence of fixed point of multivalued mappings in the setting of several comparable existing generalized metric spaces. These results unify, improve and generalize various recent related results in the existing literature.

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Acknowledgements

Authors are grateful to the reviewers for their helpful comments and suggestions which helped to improve the presentation of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Government College University, Lahore, 54000, Pakistan

    Mujahid Abbas

  2. Department of Mathematics and Applied Mathematics, University of Pretoria (Hatfield Campus), Pretoria, South Africa

    Mujahid Abbas

  3. Department of Mathematics, Bayero University Kano, Kano, Nigeria

    Yusuf I. Suleiman

  4. Kano University of Science and Technology, P.M.B. 3042, Wudil, Kano, Nigeria

    Yusuf I. Suleiman

  5. Institute of Research and Development of Processes, University of The Basque Country, Campus of Leioa (Bizkaia), 48080, Leioa, Spain

    Manuel de la Sen

Authors
  1. Mujahid Abbas
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  2. Yusuf I. Suleiman
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  3. Manuel de la Sen
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Correspondence to Manuel de la Sen.

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Abbas, M., Suleiman, Y.I. & de la Sen, M. Nadler’s fixed point results in dislocated Hausdorff A-metric spaces. J. Fixed Point Theory Appl. 21, 60 (2019). https://doi.org/10.1007/s11784-019-0697-8

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  • DOI: https://doi.org/10.1007/s11784-019-0697-8

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