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A Generalized Fixed Points for Multi-valued Mappings in G-Metric Spaces and Applications

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Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization (ICPAMS 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 476))

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Abstract

In this work we are interested to prove a general fixed point theorem of multi-valued mappings satisfying a new type relation in \(G-\)metric spaces. The results in this paper generalize the results obtained in [3]. An example and application integral equation are given to illustrate the usability of the main results.

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Acknowledgments

The authors would like to thank referee sincerely for very helpful comments improving the paper.

The authors declare that there is no conflict of interest regarding the publication of this paper.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Mohammed Premier University, Oujda, Morocco

    Noreddine Makran & Brahim Marzouki

  2. Department of Mathematical Sciences, Faculty of Sciences and Technologie, Er-Rachidia, Morocco

    Abdelhak El Haddouchi

Authors
  1. Noreddine Makran
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  2. Abdelhak El Haddouchi
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  3. Brahim Marzouki
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Corresponding author

Correspondence to Noreddine Makran .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Sultan Moulay Slimane University, Beni Mellal, Morocco

    Said Melliani

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

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Makran, N., El Haddouchi, A., Marzouki, B. (2023). A Generalized Fixed Points for Multi-valued Mappings in G-Metric Spaces and Applications. In: Melliani, S., Castillo, O. (eds) Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization. ICPAMS 2021. Lecture Notes in Networks and Systems, vol 476. Springer, Cham. https://doi.org/10.1007/978-3-031-12416-7_30

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  • DOI: https://doi.org/10.1007/978-3-031-12416-7_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-12415-0

  • Online ISBN: 978-3-031-12416-7

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