December 4, 2025Open Access

On the Implicit Functional Integral Equations Involving a Novel Rational Contraction

Key Points

Fixed point results demonstrate unique solutions in metric spaces influenced by rational contraction mappings.
Key evidence includes an illustrative example highlighting the validation of the main result.
Assessment using theoretical fixed point results led to discovering properties of contraction mappings.
Findings emphasize the significance of applying rational contractions to enhance existing mathematical frameworks.

Abstract

In this work, we investigate fixed point results for new rational contraction mappings in metric spaces, which are generalizations of many well-known fixed point results for various contraction types, encompassing three famous contraction mappings: the Banach, Kannan, and Chatterjea contraction mappings. An illustrative example is provided to demonstrate the validation of the main result. As applications, we discuss the existence and uniqueness of the solutions for functional integral equations using our theoretical fixed point result.

On the Implicit Functional Integral Equations Involving a Novel Rational Contraction

Key Points

Abstract

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