Fixed Point Theorem of Generalized Contraction Function in Fuzzy Symmetric Spaces

R. Krishnakumar¹ , Nagaral Pandit Sanatammappa²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.3 , pp.105-110, Jun-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i3.105110

Online published on Jun 30, 2019

Copyright © R. Krishnakumar , Nagaral Pandit Sanatammappa . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper the existences of the unique fixed point of a generalised contraction function have been studied in fuzzy symmetric spaces instead of metric space. And we have generalized the fixed point theorems for complete self-mapping in fuzzy symmetric spaces. These results improve and generalize some important known results in existing literature.

Key-Words / Index Term :
Fixed point, Fuzzy symmetric spaces, contraction function, t-norm, non-decreasing

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