Journal of applied mathematics & informatics
- Volume 26 Issue 3_4
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- Pages.591-603
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- 2008
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
A GENERAL FIXED POINT THEOREM IN FUZZY METRIC SPACES VIA AN IMPLICIT FUNCTION
- Imdad, M. (Department of Mathematics, Aligarh Muslim University) ;
- Ali, Javid (Department of Mathematics, Aligarh Muslim University)
- Published : 2008.05.31
Abstract
We employ the notion of implicit functions to prove a general common fixed point theorem in fuzzy metric spaces besides adopting the idea of R-weak commutativity of type (P) in fuzzy setting. In process, several previously known results are deduced as special cases to our main result.
Keywords
- Common fixed point;
- R-weakly commuting pair;
- R-weakly commuting pairs of type ($A-f$;
- );
- of type (Ag) and of type (P) and implicit function