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An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces

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  • Chol Jin Kil

Abstract

More recently, a new concept of double‐composed partial metric space has been introduced, and the related Banach type and Kannan type fixed point results have been established. In this paper, we reconsider Banach type fixed point result in double‐composed partial metric spaces under new and simple assumptions. We also present the other fixed point result and some corollaries. Our fixed point results are the generalization and improvement of well‐known results in partial metric spaces, partial b‐metric spaces, and double‐composed metric spaces. Moreover, as an application of our fixed point result, we explore the solutions of nonlinear integral equations.

Suggested Citation

  • Chol Jin Kil, 2025. "An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jijmms:v:2025:y:2025:i:1:n:3251124
    DOI: 10.1155/ijmm/3251124
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    References listed on IDEAS

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    1. Nabil Mlaiki & Hassen Aydi & Nizar Souayah & Thabet Abdeljawad, 2018. "Controlled Metric Type Spaces and the Related Contraction Principle," Mathematics, MDPI, vol. 6(10), pages 1-7, October.
    2. Nizar Souayah & Mehdi Mrad, 2019. "On Fixed-Point Results in Controlled Partial Metric Type Spaces with a Graph," Mathematics, MDPI, vol. 8(1), pages 1-15, December.
    3. Irshad Ayoob & Ng Zhen Chuan & Nabil Mlaiki, 2023. "Double-Composed Metric Spaces," Mathematics, MDPI, vol. 11(8), pages 1-12, April.
    4. N. Mlaiki & K. Abodayeh & H. Aydi & T. Abdeljawad & M. Abuloha, 2018. "Rectangular Metric-Like Type Spaces and Related Fixed Points," Journal of Mathematics, Hindawi, vol. 2018, pages 1-7, September.
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