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Fixed Point Results via α -Admissibility in Extended Fuzzy Rectangular b -Metric Spaces with Applications to Integral Equations

Author

Listed:
  • Badshah-e-Rome

    (Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa 18800, Pakistan)

  • Muhammad Sarwar

    (Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa 18800, Pakistan)

  • Rosana Rodríguez-López

    (Instituto de Matemáticas and Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain)

Abstract

In this article, the concept of extended fuzzy rectangular b -metric space (EFR b MS, for short) is initiated, and some fixed point results frequently used in the literature are generalized via α -admissibility in the setting of EFR b MS. For the illustration of the work presented, some supporting examples and an application to the existence of solutions for a class of integral equations are also discussed.

Suggested Citation

  • Badshah-e-Rome & Muhammad Sarwar & Rosana Rodríguez-López, 2021. "Fixed Point Results via α -Admissibility in Extended Fuzzy Rectangular b -Metric Spaces with Applications to Integral Equations," Mathematics, MDPI, vol. 9(16), pages 1-18, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:2009-:d:619304
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    References listed on IDEAS

    as
    1. Gopal, Dhananjay & Abbas, Mujahid & Vetro, Calogero, 2014. "Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 955-967.
    2. Azam, Akbar & Arshad, Muhammad & Beg, Ismat, 2009. "Fixed points of fuzzy contractive and fuzzy locally contractive maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2836-2841.
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