In this paper, we obtain some results on fixed points of expansion type mapping in intuitionistic fuzzy metric space. Our results are the intuitionistic fuzzy version of some fixed point theorems for expansion type mappings on different metric spaces.

In this paper, we introduce generalized contraction mapping in fuzzy metric space. Some fixed point theorems for fuzzy metric space in the sense of George and Veeramani [2]. Mathematics Subject Classification: 47H10, 54A40.

We study the compactness in a fuzzy metric space. We also give a generalization of Niemytzki–Tychonoff theorem for a fuzzy metric space. © 2013 Elsevier B.V. All rights reserved.

In this paper, we give a generalization of Hicks type contractions and Golet type contractions on fuzzy metric spaces. We prove some fixed point theorems for this new type contraction mappings on fuzzy metric spaces.

In this paper, we introduce and formulate the definitions of Banach operator type k and Banach operator pair on intuitionistic fuzzy metric space. Thereafter we prove some properties and theorems on intuitionistic fuzzy metric space.

In this work, we propose a pseudometric based on a fuzzy relation, which is itself derived from a fuzzy partition. This pseudometric is a metric in the particular case in which the fuzzy partition is composed solely by triangular fuzzy sets. We prove that these functions are indeed a pseudometric and a metric and illustrate their use in an experiment for the classification of land use in an are...

We shall continue to discuss further properties of null-additive fuzzy measure on metric spaces following the previous results. Under the null-additivity condition, some properties of the inner/outer regularity and the regularity of fuzzy measure are shown. Also the strong regularity of fuzzy measure is discussed on complete separable metric spaces. As an application of strong regularity, we pr...

In this paper, we establish some common fixed point theorems in fuzzy metric spaces for sequence of self mappings using implicit relation and the property (E.A). Our results extend, generalize and improve several results of metric spaces and menger spaces to fuzzy metric spaces.

In this paper, we introduce a new class of contractive mappings in a fuzzy metric space and we present fixed point results for this class of maps.