Results in Fixed Point Theorems of Ordered B-Metric Spaces ‎for Rational Type ‎ a‎-Admissible Contractive Mappings

  • Authors

    • Muhammed Raji Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria
    • Musa Adeku Ibrahim Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria
    • Rotimi Kehinde Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria
    https://doi.org/10.14419/t89eyg56

  • Abstract

    In this paper, we present a rational type ‎ ‎-Admissible contraction mappings in the context of partially ordered b-metric spaces and leverage ‎on it to establish the existence and uniqueness of fixed point theorems for self-mappings within the framework of complete partially ordered ‎b-metric spaces. The results of this article are applied to determine the solution to an integral equation. Through illustrative examples, we ‎showcase the practical applicability of the results, demonstrating their effectiveness in real-world scenarios‎.

  • References

    1. Fixed Point; α‎ ‎-Admissible Contraction; Partially Ordered Metric Space; b-Metric Space

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  • How to Cite

    Raji, M., Ibrahim, M. A. . ., & Kehinde, R. (2025). Results in Fixed Point Theorems of Ordered B-Metric Spaces ‎for Rational Type ‎ a‎-Admissible Contractive Mappings. International Journal of Advanced Mathematical Sciences, 11(2), 1-7. https://doi.org/10.14419/t89eyg56