Fixed-Point Results in Neutrosophic Normed Spaces

<p>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 Caccioppolis and Kannans f...

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Bibliographic Details
Main Authors: Nirmal Sarkar, Jayanta Das, Ashoke Das
Format: Article
Language:English
Published: Islamic Azad University, Bandar Abbas Branch 2025-06-01
Series:Transactions on Fuzzy Sets and Systems
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Online Access:https://sanad.iau.ir/journal/tfss/Article/1203034
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Summary:<p>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 Caccioppolis and Kannans 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.</p>
ISSN:2821-0131