P-Type Contractive Mappings in b-Metric Spaces and an Application to a (p,q)-Difference Langevin Problem
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 (p,q)-difference Langevin equation is presented to demonstrate the effectiveness of the theoretical results.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Nonlinear Differential Equations Analysis
Optimization and Variational Analysis
Publication details
- Journal / source
- Mathematics
- Publisher
- MDPI AG
- Volume
- 14
- Issue
- 2
- Pages
- 287–287
- Publication date
- 13 January 2026
- Language
- EN