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, cilt.2025, sa.1, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2025 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1186/s13661-025-02073-z
  • Dergi Adı: Boundary Value Problems
  • Derginin Tarandığı İndeksler: 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
  • Anahtar Kelimeler: Boundary Value Problem, Diffusion, Fixed point, Integral equations, Paired Contraction, Polynomial Contraction
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.