On $\theta$-convex contractive mappings with application to integral equations

Abstract

The fundamental goal of our paper is to study $\theta$-convex contractive mappings in metric spaces. We demonstrate some fixed point results for such mappings. Also, we give an application to integral equations of our results. Consequently, our results encompass numerous generalizations of the Banach contraction principle on metric space.

Keywords

• Integral equation
• fixed point
• convex contraction
• θ-contraction

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