Work

Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions

Year: 2025

Type: article

Abstract: This manuscript introduces the concept of Pairwise and Polynomial contractions within the framework of b -metric spaces. In this context, various concepts and propositions are defined, and novel fixed-point results are established. Moreover, corollaries are deduced, and examples are presented to reinforce the validity of the obtained results. Furthermore, applications of such contractions to boundary value problems in chemical sciences and integral-type contractions are discussed using the established results.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02073-z

Authors: Khaled Aldwoah, E. I. Hassan, Syed Khayyam Shah, Ishraq A. Al-Abdi

Institutions: Islamic University of Madinah, Imam Mohammad ibn Saud Islamic University, Middle East Technical University, Hajjah University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: Al-Imam Muhammad Ibn Saud Islamic University