FIXED POINT THEOREMS IN C-FUZZY METRIC SET IN FUZZY METRIC SPACES

R. Krishnakumar¹ , Nagaral Pandit Sanatammappa²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.343-347, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.343347

Online published on Dec 31, 2018

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 fixed point theorems for commute c-fuzzy metric set satisfying the generalized Lipschitzconditions are obtained, without appealing to continuity formappings in the setting of fuzzy metric spaces over the Banach algebra. Furthermore, we notonly get the existence of the fixed point but also get the uniqueness.These results greatly improve and generalize several well-knowncomparable results in the literature.

Key-Words / Index Term :
Fixed point, c-fuzzy metric set, Fuzzy metric spaces, commuting, invertible,Lipschitzconditions

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