Work

Resolving elliptic boundary value problem and integral equation in relational partial metric space

Year: 2024

Type: article

Abstract: In the present study, a novel version of the contraction theory on a relational partial metric space associated with a binary relation is exhibited. In this process, we observe that numerous relations can be used in many well-known fixed point theorems earlier introduced by multiple authors. We solve an elliptic boundary value problem and an integral equation to make the significance of the main conclusion evident. Exploring a nonlinear system, governed by nonlinear equations, underscores the importance of comprehending fixed points - pivotal states where the dynamics of a system remain unaltered.

Source: Heliyon

DOI: 10.1016/j.heliyon.2024.e40766

Authors: Meena Joshi, Anita Tomar, Mohammad Sajid, S.K. Padaliya

Institutions: Soban Singh Jeena University, Sri Dev Suman Uttarakhand University, Qassim University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,100

Funder: Qassim University