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, vol.14, no.2, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.3390/math14020287
  • Journal Name: Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, Directory of Open Access Journals
  • Keywords: b-metric space, fixed point, Langevin equation, P-contraction
  • Gazi University Affiliated: Yes

Abstract

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.