January 1, 2025Open Access

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

Puntos clave

A unique fixed point exists for some alpha-admissible f-contractions in p-metric spaces, indicating significant mathematical implications.
The results enhance and unify several established theorems in the mathematical literature, pointing to broader applications.
Analysis conducted on the conditions of fixed points reveals usefulness for solving nonlinear integral equations.
The study emphasizes the importance of fixed point theory within the context of p-metric spaces in mathematical applications.

Resumen

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.

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Cite This Study

Kil et al. (Wed,) studied this question.

synapsesocial.com/papers/68af59e3ad7bf08b1eaded78 https://doi.org/https://doi.org/10.1155/jama/4399158

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