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

Aldwoah K., Hassan E., Shah S. K., Al-Abdi I. A.

Boundary Value Problems, vol.2025, no.1, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2025 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1186/s13661-025-02073-z
  • Journal Name: Boundary Value Problems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: Boundary Value Problem, Diffusion, Fixed point, Integral equations, Paired Contraction, Polynomial Contraction
  • Middle East Technical University Affiliated: Yes

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.