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Fixed Points of (α, F)Ω‐Weak Contractions in p‐Metric Spaces and Application

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  • Chol Jin Kil
  • Jong-Chol Choe
  • Sang-Jin Kim

Abstract

In this paper, we prove the existence and uniqueness of a fixed point of some α-admissible F‐contractions in the setting of p‐metric spaces. We also give some examples to support the presented fixed point results. Our results improve, extend, and unify many existing theorems in the literature. As an application of the obtained results, we consider the existence of a solution of nonlinear integral equations.

Suggested Citation

  • Chol Jin Kil & Jong-Chol Choe & Sang-Jin Kim, 2025. "Fixed Points of (α, F)Ω‐Weak Contractions in p‐Metric Spaces and Application," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnljam:v:2025:y:2025:i:1:n:4399158
    DOI: 10.1155/jama/4399158
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    References listed on IDEAS

    as
    1. Hasanen A. Hammad & Manuel De la Sen, 2020. "Fixed-Point Results for a Generalized Almost ( s , q )—Jaggi F -Contraction-Type on b —Metric-Like Spaces," Mathematics, MDPI, vol. 8(1), pages 1-21, January.
    2. Y. Mahendra Singh & Mohammad Saeed Khan & Shin Min Kang, 2018. "F -Convex Contraction via Admissible Mapping and Related Fixed Point Theorems with an Application," Mathematics, MDPI, vol. 6(6), pages 1-15, June.
    3. Huaping Huang & Vesna Todorčević & Stojan Radenović, 2022. "Remarks on Recent Results for Generalized F -Contractions," Mathematics, MDPI, vol. 10(5), pages 1-8, February.
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