Solving integral and differential equations via fixed point results involving F-contractions

Abstract

Abstract In this article, we aim to establish fixed point results within the framework of an orthogonal complete metric space by employing an F-weak contraction. Our research extends and generalizes several well-established results found in the existing literature. To substantiate the validity of our findings, we have included illustrative examples. Additionally, our discoveries empower us to ascertain both the existence and uniqueness of solutions for both differential and integral equations.

Keywords

• Fixed point
• F-weak contraction
• Orthogonal F-contraction
• Orthogonal metric spaces