Fixed-Point Results in Neutrosophic Normed Spaces
Subject Areas : Transactions on Fuzzy Sets and Systems
Nirmal Sarkar
1
,
Jayanta Das
2
,
Ashoke Das
3
1 -
2 -
3 -
Keywords: Neutrosophic normed spaces, Banach Contraction, Kannans fixed-point, Caccioppolis fixed-point.,
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 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.
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