Fixed-Point Results in Neutrosophic Normed Spaces

This paper investigates fixed-point theorems within the framework of neutrosophic normed spaces. We provide a novel proof of the Banach Contraction Principle, offering fresh insights into its applicability in neutrosophic environments. Additionally, we extend both Caccioppoli’s and Kannan’s fixed-point theorems to neutrosophic linear spaces, establishing their validity in this generalized context. These results contribute to the theoretical advancement of neutrosophic analysis and broaden the scope of classical fixed-point theory.

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Publication Details

Journal
Fuzzy Sets and Systems
Published
2025-04-01
DOI
https://doi.org/10.71602/tfss.2025.1203034
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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Fixed-Point Results in Neutrosophic Normed Spaces

Fuzzy Sets and Systems
Fixed Point Theorems Analysis
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Fixed-Point Results in Neutrosophic Normed Spaces

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Abstract

This paper investigates fixed-point theorems within the framework of neutrosophic normed spaces. We provide a novel proof of the Banach Contraction Principle, offering fresh insights into its applicability in neutrosophic environments. Additionally, we extend both Caccioppoli’s and Kannan’s fixed-point theorems to neutrosophic linear spaces, establishing their validity in this generalized context. These results contribute to the theoretical advancement of neutrosophic analysis and broaden the scope of classical fixed-point theory.

Fuzzy Sets and Systems
Raiganj University (IN)
Reduced inequalities
Openalex Percentile: Top 45%
Fixed Point Theorems Analysis
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Fixed-Point Results in Neutrosophic Normed Spaces · Fuzzy Sets and Systems (2025) | TGRS Research Map | TGRS