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Single and Multivalued Maps on Parametric Metric Spaces Endowed with an Equivalence Relation

Author

Listed:
  • Muhammad Usman Ali
  • Hassen Aydi
  • Asma Batool
  • Vahid Parvaneh
  • Naeem Saleem

Abstract

This article presents the E‐parametric metric space, which is a generalized concept of parametric metric space. After that, the discussion is concerned with the existence of fixed points of single and multivalued maps on E‐parametric metric spaces satisfying some contractive inequalities defined by an auxiliary function.

Suggested Citation

  • Muhammad Usman Ali & Hassen Aydi & Asma Batool & Vahid Parvaneh & Naeem Saleem, 2022. "Single and Multivalued Maps on Parametric Metric Spaces Endowed with an Equivalence Relation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:6188108
    DOI: 10.1155/2022/6188108
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    References listed on IDEAS

    as
    1. Ersin Gilić & Diana Dolićanin-Đekić & Zoran D. Mitrović & Dženis Pučić & Hassen Aydi, 2020. "On Some Recent Results Concerning F -Suzuki-Contractions in b-Metric Spaces," Mathematics, MDPI, vol. 8(6), pages 1-13, June.
    2. N. Hussain & S. Khaleghizadeh & P. Salimi & Afrah A. N. Abdou, 2014. "A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-16, April.
    3. N. Hussain & S. Khaleghizadeh & P. Salimi & Afrah A. N. Abdou, 2014. "A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    Full references (including those not matched with items on IDEAS)

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