East Asian mathematical journal
- Volume 21 Issue 1
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- Pages.65-76
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- 2005
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
SEMI-COMPATIBILITY AND FIXED POINT THEOREM IN MENGER SPACE USING IMPLICIT RELATION
- Singh, Bijendra ((Ujjain) S. S. in Mathematics Vikram University) ;
- Jain, Shishir ((Indore) Shree Vaishnav Institute of Technology and Science)
- Published : 2005.06.30
Abstract
In this paper the concept of semi-compatibility has been introduced in Menger space and it has been applied to prove results on existence of unique common fixed point of four self maps satisfying an implicit relation. It results in a generalization of Banach contraction principle established by Sehgal and Bharucha-Reid in [8] All the result presented in this paper are new.
Keywords
- Probabilisticmetric space;
- Menger space;
- t-norm;
- common fixed points;
- semi-compatible maps;
- weak compatible maps