Fixed Point Theorems for Generalized Integral Type Weak-Contraction Mappings in Convex Modular Metric Spaces

Fixed point theory in convex modular metric spaces has seen significant advancements due to its broad applicability in various fields. In 2020, Chaira et al. [5] extended fixed point theorems for weak contraction mappings within partially ordered modular metric spaces. Subsequently, in 2023, Mithun et al. [14] established fixed point theorems for integral-type weak contraction mappings in modular metric spaces. Building on these foundational results, this paper investigates fixed point results for four mappings under integral-type contraction conditions in convex modular metric spaces.

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Journal
Fundamentals of Contemporary Mathematical Sciences
Published
2025-07-30
DOI
https://doi.org/10.54974/fcmathsci.1598614
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

Fixed Point Theorems for Generalized Integral Type Weak-Contraction Mappings in Convex Modular Metric Spaces

Ashoke Das, Jayanta Das
Fundamentals of Contemporary Mathematical Sciences
Fixed Point Theorems Analysis
article

Fixed Point Theorems for Generalized Integral Type Weak-Contraction Mappings in Convex Modular Metric Spaces

Ashoke Das, Jayanta Das
article en

Abstract

Fixed point theory in convex modular metric spaces has seen significant advancements due to its broad applicability in various fields. In 2020, Chaira et al. [5] extended fixed point theorems for weak contraction mappings within partially ordered modular metric spaces. Subsequently, in 2023, Mithun et al. [14] established fixed point theorems for integral-type weak contraction mappings in modular metric spaces. Building on these foundational results, this paper investigates fixed point results for four mappings under integral-type contraction conditions in convex modular metric spaces.

Fundamentals of Contemporary Mathematical SciencesVol. 6(2)
Raiganj University (IN)
Openalex Percentile: Top 76%
Fixed Point Theorems Analysis
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