• Communications of the Korean Mathematical Society
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• v.25 no.1
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• pp.59-68
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• 2010

In this paper, we prove common fixed point theorems for semi-compatible mappings on intuitionistic fuzzy metric space with different some conditions of Park and Kim [10]. This research extended and generalized the results of Singh and Chauhan [14].

• Journal of the Chungcheong Mathematical Society
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• v.18 no.1
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• pp.1-22
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• 2005

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.

• Journal of the Chungcheong Mathematical Society
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• v.17 no.2
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• pp.125-136
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• 2004

This paper introduces the notion of semi-compatible self-maps in 2-metric spaces and establishes a fixed point theorem for four self-maps, satisfying an implicit relation through semi-compatibility of a pair of self-maps. This results in another fixed point theorem for four expansion maps which generalizes and improves many results of Kang et. al. [5] with an application.

• The Pure and Applied Mathematics
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• v.17 no.3
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• pp.205-209
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• 2010

We introduce the concept of semi-compatible and weak-compatible in $\cal{M}$-fuzzy metric space, and prove some fixed point theorem for four self maps satisfying some conditions in $\cal{M}$-fuzzy metric space.

• Journal of the Chungcheong Mathematical Society
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• v.17 no.1
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• pp.1-17
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• 2004

In this paper, the concept of semi-compatibility in Menger space is introduced and it is used to prove results on the existence of a unique common fixed point of four self-maps. These results are a very wide improvement of Mishra [8], Dedeic and Sarapa [3, 4], Cain and Kasril [1], and Sehgal and Bharucha Reid [10].