August 3, 2025Open Access

Fixed Point Results in Partial Metric Spaces via Integral Type Contraction With Application

Key Points

The study establishes new fixed point results using integral type contractive conditions in complete partial metric spaces.
Key findings reveal the effectiveness of these conditions in solving fixed point problems, broadening their applicability.
The approach employs examples to illustrate the established results and validate their significance in real-world scenarios.
Potential applications are highlighted, specifically regarding the Fredholm integral equation, suggesting broader implications for mathematical analysis.

Abstract

In this paper, we derive some fixed point results via integral type contractive condition having rational terms in the setting of complete partial metric spaces and provide some consequences of the established results. Also, we give some examples in support of the established results. An application to the Fredholm integral equation is also given. Our results generalize, extend and enrich several previously published well-known fixed point results from the existing literature (see, e.g. 10, 11, 26 and many others).

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G. S. Saluja (Sun,) studied this question.

www.synapsesocial.com/papers/68af4965ad7bf08b1ead5b24 — DOI: https://doi.org/10.22190/fumi240818048s

Fixed Point Results in Partial Metric Spaces via Integral Type Contraction With Application

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