[PDF] Top 20 On Fuzzy 2-Metric Spaces

... Abstract. Fuzzy metric spaces, which are essentially a kind of Quasi-2-metrics in general topology, is extended to form the fuzzy 2-metric ...in Metric ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...introduced fuzzy metric spaces which are ... See full document

... intuitionistic fuzzy metric space, where ∗ is a continuous t-norm and ◊ is a continuous t-co-norm of H-type defined by t∗ t ≥ t and (1 − t) ◊ (1 − t) ≤ (1 − t) satisfying ... See full document

... in fuzzy-2, fuzzy-3 metric spaces by employing the notion of semi-compatible and reciprocal ...from fuzzy metric spaces to fuzzy-2 metric and ... See full document

... in fuzzy metric space can be viewed in [2, 3, 10, 17, ...on fuzzy metric spaces which generalize extend and fuzz if y several known fixed point theorems for occasionally ... See full document

... Example 2.8. Let X = (0, ∞ ), M (x, y,t) = min { x, y } / max { x, y } for all t > 0 and a ∗ b = ab . Then (see [6]), ( X , M , ∗ ) is a fuzzy metric space. Since √ t > t for all t ∈ (0, 1), the map- ... See full document

... Definition 2.2: Let ( ) be a metric space and . If for every  there exist such that ( ) , then subset is called open subset of . A subset of is said to be bounded if there exists such that ( ) for all  . A ... See full document

... in fuzzy metric space is closely re- lated to the fixed-point theory for the same type of mappings in probabilistic metric space of Menger type (see [10, ...of fuzzy metric ... See full document

... of fuzzy sets was introduced by Zadeh in 1965 ...of fuzzy sets and their ...of fuzzy metric spaces in several ...these fuzzy metric spaces are Badard [1] and Bose ... See full document

... Intuitionistic fuzzy set as a noted generalization of fuzzy set which has inspired intense research activity around this newly introduced ...Intuitionistic fuzzy sets. Defined Intuitionistic ... See full document

... Example 2.2. Suppose that U consists of a group of people. The L-fuzzy set, whose membership function ϕ , describes how well the persons in U can ski. For instance, there exist people who can ski very well, some ... See full document

... introduced fuzzy metric space, Veermani [2] ...a fuzzy metric spaces and modified the notion of fuzzy metric spaces with the help of continuous ... See full document

... The class of ( ε , l )-contraction as a subclass of B-contraction in probabilistic metric space was introduced by Mihet [1]. He and other researchers achieved to some inter- esting results about existence of fixed ... See full document

... From Lemma 2.1, if Ks < t we have B(x, r, s) ⊂ B (x, r, t). But it may not be B (x, r, s) ⊂ B(x, r, t) if s < t ≤ Ks which means M(x, y, ) may not be nondecreasing. Nevertheless Lemma 2.1 is enough to prove some ... See full document

... Menger spaces and proved some fixed point theorems in this space using the same method as Cain and Kasriel in [5] for probabilistic metric ...of fuzzy sets was coined by Zadeh [8] in his seminal ... See full document

... point results for weakly compatible mappings in partially ordered fuzzy metric spaces. By using the theorems, we obtain some coupled and multidimensional fixed point results, which are generalization ... See full document

... such spaces generalize the concept of metric ...b-metric spaces and operator-valued metric spaces [], we introduce a new type of metric spaces, namely, C ∗ ... See full document

... two metric spaces, ...n-Metric Spaces” International journal of Emerging Trends in Engineering and Development, ...Issue 2, ...n Metric Spaces”, International Journal of ... See full document

... a 2-metric space and we have fixed point theorems for pairs as well as quadruples of self-maps on a 2-metric space satisfying certain generalised contraction ...Further metric space ... See full document

... a metric space, Gahler [2, 3] introduced the notion of 2-metric spaces while Dhage [1] initiated the notion of D - metric ...- metric spaces Shaban Sedghi, Nabi ... See full document