Work

Generalized Contractions in Partially Ordered Metric Space with Rational Expressions and Related Fixed Point Results

Year: 2024

Type: article

Abstract: This paper aims to prove the existence and uniqueness of some fixed point for nonlinear contractive mappings in the setting of metric spaces and partially ordered metrics spaces satisfying a contraction condition of rational type. These contributions extend the existing literature on metric spaces and fixed point theory. Through illustrative examples, we showcase the practical applicability of our proposed notions and results, demonstrating their effectiveness in real-world scenarios.

Source: American Journal of Applied Mathematics and Statistics

DOI: 10.12691/ajams-12-4-2

Authors: Muhammed Raji, Laxmi Rathour, Vinay Singh, Mutalib Sadiq, Lakshmi Narayan Mishra, Vishnu Narayan Mishra

Institutions: Confluence University of Science and Technology, Osara, Federal University Lokoja, Vellore Institute of Technology University, Indira Gandhi National Tribal University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404682353

FWCI: