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.

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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
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article

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

İshak Altun, Duran Türkoğlu, Oğuz Solak
Mathematics
Fixed Point Theorems Analysis
article

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

İshak Altun, Duran Türkoğlu, Oğuz Solak
article en

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.

MathematicsVol. 14(2)
Kırıkkale University (TR), Gazi University (TR)
Openalex Percentile: Top 86%
Fixed Point Theorems Analysis
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