• Journal of applied mathematics & informatics
• /
• v.9 no.1
• /
• pp.433-440
• /
• 2002

In this paper, we first prove the existence of fixed points for fuzzy mappings that satisfy a certain contractive condition. Also, we give a fixed point theorem for generalized contractive fuzzy mapping by using Caristi's by fixed point theorem.

• 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.

• Journal of the Korean Mathematical Society
• /
• v.52 no.6
• /
• pp.1287-1303
• /
• 2015

The Hausdorff topology induced by a fuzzy metric space under more weak assumptions is investigated in this paper. Another purpose of this paper is to obtain the Banach contraction theorem in fuzzy metric space based on a natural concept of Cauchy sequence in fuzzy metric space.

• Communications of the Korean Mathematical Society
• /
• v.28 no.3
• /
• pp.517-526
• /
• 2013

We give a fixed point theorem for complete fuzzy metric space which generalizes fuzzy Banach contraction theorems established by V. Gregori and A. Spena [Fuzzy Sets and Systems 125 (2002), 245-252] using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1-9] in metric spaces.

• East Asian mathematical journal
• /
• v.25 no.2
• /
• pp.197-213
• /
• 2009

In this paper, we give some new denitions of $\cal{L}^*_\cal{M}$-fuzzy metric spaces and we prove a common xed point theorem for two mappings in complete $\cal{L}^*_\cal{M}$-fuzzy metric spaces. We get some improved versions of several xed point theorems in complete $\cal{L}^*_\cal{M}$-fuzzy metric spaces.

• Communications of the Korean Mathematical Society
• /
• v.22 no.4
• /
• pp.513-526
• /
• 2007

In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of compatible mappings of first or second type in two complete M-fuzzy metric spaces.

• Journal of applied mathematics & informatics
• /
• v.30 no.1_2
• /
• pp.265-278
• /
• 2012

In this work we have considered several common fixed point results in metric spaces for weak compatible mappings. By applications of these results we establish some fixed point theorems in fuzzy metric spaces.

• Communications of the Korean Mathematical Society
• /
• v.24 no.4
• /
• pp.581-594
• /
• 2009

In this paper, we establish a common fixed point theorem in complete fuzzy metric spaces which generalizes some results in [9].

• Journal of the Korean Institute of Intelligent Systems
• /
• v.18 no.4
• /
• pp.524-529
• /
• 2008

Park et.al.[10] defined the intuitionistic fuzzy metric space in which it is a little revised in Park[4], and Park et.a1.[7] proved a fixed point theorem of Banach for the contractive mapping of a complete intuitionistic fuzzy metric space. In this paper, we will establish common fixed point theorem for four self maps in intuitionistic fuzzy metric space. These results have been used to obtain translation and generalization of Grabiec's contraction principle.