FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES

FIXED-POINT THEOREMS USING INTERPOLATIVE BOYD-WONG-TYPE CONTRACTIONS AND INTERPOLATIVE MATKOWSKI-TYPE CONTRACTIONS ON PARTIAL 𝑏-METRIC SPACES

This article introduces interpolative contractions of both Boyd-Wong and Matkowski types in the framework of partial 𝑏-metric spaces. We derive fixed-point theorems for these two contractions and incorporate examples to emphasize the practical relevance of our findings.

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Bibliographic Details
Main Authors: A. Gupta, R. Mansotra
Format: Article
Language:English
Published: Petrozavodsk State University 2025-01-01
Series:Проблемы анализа
Subjects:
partial 𝑏-metric space
interpolative boyd-wong con- traction
interpolative matkowski contraction
fixed point
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16990&lang=en
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Description
Summary:This article introduces interpolative contractions of both Boyd-Wong and Matkowski types in the framework of partial 𝑏-metric spaces. We derive fixed-point theorems for these two contractions and incorporate examples to emphasize the practical relevance of our findings.
ISSN:2306-3424
2306-3432

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