International Journal of Nonlinear Analysis and Applications

Existence of fixed point for generalized weak contraction satisfying rational type expression in partially ordered metric spaces

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematics, H.N.B. Garhwal University, B.G.R. Campus, Pauri-246001, Uttarakhand, India

Abstract

In this paper, we obtain some fixed point theorems of mappings satisfying a generalized rational type weak contractive condition in partially ordered metric spaces. The presented results generalize and extend various fixed point theorems of the literature. We also provide an example which supports our new results, but it contradicts the previously established results. Furthermore, we discuss the application of these results to the existence and uniqueness of solutions for first-order periodic boundary value problems arising in ordinary differential equations.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 06 January 2026
  • Receive Date: 09 September 2022
  • Accept Date: 03 January 2025