Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 18 Issue 1
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- Pages.1-22
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- 2005
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
SEMI-COMPATIBILITY, COMPATIBILITY AND FIXED POINT THEOREMS IN FUZZY METRIC SPACE
- Singh, Bijendra (School of Studies in Mathematics Vikram University) ;
- Jain, Shishir (Shri Vaishnav Institute of Technology & Science Gram Baroli)
- Received : 2004.09.06
- Published : 2005.04.30
Abstract
The object of this paper is to introduce the concept of a pair of semi-compatible self-maps in a fuzzy metric space to establish a fixed point theorem for four self-maps. It offers an extension of Vasuki [10] to four self-maps under the assumption of semi-compatibility and compatibility, repsectively. At the same time, these results give the alternate results of Grebiec [5] and Vasuki [9] as well.
Keywords
- R-weakly commuting map;
- complete fuzzy metric space;
- semi-compatible map;
- compatible map;
- unique common fixed point