P-Type Contractive Mappings in b-Metric Spaces and an Application to a (p,q)-Difference Langevin Problem

Solak O., TÜRKOĞLU A. D., Altun I.

Mathematics, cilt.14, sa.2, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.3390/math14020287
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: b-metric space, fixed point, Langevin equation, P-contraction
  • Gazi Üniversitesi Adresli: Evet

Özet

This work investigates fixed point results for mappings satisfying generalized P-type contractive conditions in the framework of b-metric spaces. Several existence and uniqueness theorems are established by employing appropriate iterative techniques adapted to the b-metric setting. Illustrative examples are provided to clarify the relationship between P-contractions and classical contractions. In addition, an application to a boundary value problem involving a second-order (Formula presented.) -difference Langevin equation is presented to demonstrate the effectiveness of the theoretical results.