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

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.14 no.1
• /
• pp.66-72
• /
• 2014

In this paper, we establish common fixed point theorem for type(${\beta}$) compatible four mappings with implicit relations defined on an intuitionistic fuzzy metric space. Also, we present the example of common fixed point satisfying the conditions of main theorem in an intuitionistic fuzzy metric space.

• Korean Journal of Mathematics
• /
• v.29 no.3
• /
• pp.455-466
• /
• 2021

Coupled fixed point results have attracted much attention among the researchers in recent times specially in the field of fuzzy metric spaces. In this paper we established a coupled fixed point result for weakly compatible mappings in G-fuzzy metric spaces. We have deduced a corollary to our main theorem. Our result also supported by examples.

• Honam Mathematical Journal
• /
• v.32 no.4
• /
• pp.663-673
• /
• 2010

In this paper, we will establish common fixed point for compatible mappings of type(${\alpha}$) for four self mappings defined on intuitionistic fuzzy metric space with implicit relations.

• East Asian mathematical journal
• /
• v.23 no.2
• /
• pp.175-195
• /
• 2007

The object of this paper is to introduce the notion of semi-compatible maps in fuzzy metric spaces, fuzzy 2-metric spaces and fuzzy 3-metric spaces and to establish three common fixed point theorems for these spaces for four self-maps. These results improve, extend and generalize the results of [16]. As an application, these results have been used to obtain translation and generalization of Grabeic's contraction principle in the new settings. All the result presented in this paper are new.

• Honam Mathematical Journal
• /
• v.32 no.2
• /
• pp.283-298
• /
• 2010

In this paper, we introduce the concept of compatible mapping of type(${\alpha}$-1) and type(${\alpha}$-2), prove the some properties and common fixed point theorem for such maps in intuitionistic fuzzy metric space. Also, we give the example. Our research are an extension for the results of Kutukcu and Sharma[3] and Park et.al.[11].

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

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.12 no.4
• /
• pp.296-299
• /
• 2012

In this paper, we give definitions for common limit in the range property of mappings and obtain common fixed point theorem for a pair of weakly compatible functions in intuitionistic fuzzy metric space using the joint common limit in the range property of mappings(shortly, (JCLR) property). Our results improve and generalize results of Chauhan et al[1].

• The Pure and Applied Mathematics
• /
• v.16 no.1
• /
• pp.19-30
• /
• 2009

In this paper, we prove some common fixed point theorems for six maps satisfying compatible maps of type(${\alpha}$) on intuitionistic fuzzy metric spaces in sense of Park et al.[7]. Our research are generalization and extension for the results of [1], [2], [3] and [13].

• Communications of the Korean Mathematical Society
• /
• v.22 no.3
• /
• pp.429-440
• /
• 2007

In this paper, a common fixed point theorem for weak compatible maps in complete fuzzy metric spaces is proved.