Applying Banach Algebra for Generalized (α-Ψ)-Contractive Type Maps in Cone Metric Spaces

Aims/ objectives: In this research, we initially present a novel mapping within the framework of cone metric spaces associated with Banach algebra, referred to as generalized (α-Ψ)-contractive type mappings. Subsequently, a number of fixed point theorems related to (α-Ψ)-contractive type mappings in these cone metric spaces over Banach algebra are generalized and expanded.

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Publication Details

Journal
Asian Journal of Probability and Statistics
Published
2025-02-15
DOI
https://doi.org/10.9734/ajpas/2025/v27i3725
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

Applying Banach Algebra for Generalized (α-Ψ)-Contractive Type Maps in Cone Metric Spaces

Padmavati, Anil Kumar Mishra, Sanjay Sharma
Asian Journal of Probability and Statistics
Fixed Point Theorems Analysis
article

Applying Banach Algebra for Generalized (α-Ψ)-Contractive Type Maps in Cone Metric Spaces

Padmavati, Anil Kumar Mishra, Sanjay Sharma
article en

Abstract

Aims/ objectives: In this research, we initially present a novel mapping within the framework of cone metric spaces associated with Banach algebra, referred to as generalized (α-Ψ)-contractive type mappings. Subsequently, a number of fixed point theorems related to (α-Ψ)-contractive type mappings in these cone metric spaces over Banach algebra are generalized and expanded.

Asian Journal of Probability and StatisticsVol. 27(3)
Government Medical College (IN), Indian Institute of Technology Bhilai (IN)
Reduced inequalities
Openalex Percentile: Top 94%
Fixed Point Theorems Analysis
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