P-Type Contractive Mappings in b-Metric Spaces and an Application to a (p,q)-Difference Langevin Problem
Year: 2026
Type: article
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.
Source: Mathematics
DOI: 10.3390/math14020287
Authors: Oğuz Solak, Duran Türkoğlu, Ishak Altun
Institutions: Gazi University, Kırıkkale University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7123523409