P-Type Contractive Mappings in b-Metric Spaces and an Application to a (p,q)-Difference Langevin Problem
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 (p,q)-difference Langevin equation is presented to demonstrate the effectiveness of the theoretical results.
Authors
- İshak Altun (ORCID: https://orcid.org/0000-0002-7967-0554)
- Duran Türkoğlu
- Oğuz Solak
Institutions
- Kırıkkale University (TR)
- Gazi University (TR)
Publication Details
- Journal
- Mathematics
- Published
- 2026-01-13
- DOI
- https://doi.org/10.3390/math14020287
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00