• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2006.11a
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• pp.141-144
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• 2006

In this paper, using the notion of generalized metric (or D-metric) due to Dhage [3], we give new definition of M-fuzzy metric spaces and prove a common fixed point theorem for two mappings under the condition of weak compatible and R-weakly commuting mappings in complete M-fuzzy metric spaces.

• 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].

• Honam Mathematical Journal
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• v.33 no.2
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• pp.143-152
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• 2011

In this paper, we prove some common fixed point theorems for finite number of discontinuous, non-compatible mapping on non-complete intuitionistic fuzzy metric spaces and obtain the example. Our research improve, extend and generalize several known results in intuitionistic fuzzy metric spaces.

• East Asian mathematical journal
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• v.18 no.2
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• pp.175-182
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• 2002

The purpose of this paper is to obtain some common fixed point theorems for multivalued mappings in fuzzy metric space. Of course this is a new result on this line.

• East Asian mathematical journal
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• v.18 no.2
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• pp.183-193
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• 2002

The aim of this paper is to prove a common fixed point theorem from the class of compatible maps to larger class of weakly compatible maps without appeal to continuity in fuzzy metric spaces.

• Korean Journal of Mathematics
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• v.7 no.2
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• pp.321-329
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• 1999

In this paper, we introduce a new metric on space $\mathcal{F}(R^p)$ of fuzzy sets and prove that $\mathcal{F}(R^p)$ is separable and complete.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2008.04a
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• pp.121-124
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• 2008

We will establish common fixed point theorem and example for four self maps in intuitionistic fuzzy metric space.

• East Asian mathematical journal
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• v.24 no.3
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• pp.223-232
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• 2008

The purpose of this paper is to prove common fixed point theorem for multivalued mappings satisfying some conditions in intuitionistic fuzzy metric space in the sense of Alaca et al.

• The Pure and Applied Mathematics
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• v.16 no.4
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• pp.345-357
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• 2009

We prove a related fixed point theorem for two pairs of mappings on two intuitionistic fuzzy metric spaces. Our result is maiden in this line.

• Honam Mathematical Journal
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• v.38 no.2
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• pp.337-357
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• 2016

The notion of weak contraction in intuitionistic fuzzy metric space is well known and its study is well entrenched in the literature. This paper introduces the notion of (${\psi},{\alpha},{\beta}$)-weak contraction in intuitionistic fuzzy metric space. In this contrast, we prove certain coincidence point results in partially ordered intuitionistic fuzzy metric spaces for functions which satisfy a certain inequality involving three control functions. In the course of investigation, we found that by imposing some additional conditions on the mappings, coincidence point turns out to be a fixed point. Moreover, we establish a theorem as an application of our results.