[PDF] Top 20 Fixed Point Theorems in Intuitionistics Fuzzy Metric Spaces Using Implicit Relations

... of fuzzy sets is introduced by Zadeh ...of Fuzzy sets, Fuzzy metric ...of fuzzy metric spaces using continuous t ...some point theorems ... See full document

... probabilistic metric spaces is an important part of stochastic Analysis, and so it is of interest to develop the fixed point theory in such ...the fixed point theory in ... See full document

... of fuzzy set was introduced, then it was the turning point in the development of ...the Fuzzy y sets Kramosil and Michalek [15] introduced the concept of Fuzzy metric space ...of ... See full document

... In this paper, we prove some new fixed point theorems for fuzzy mappings under a G-distance function and a G -distance function in complete metric spaces. Our results extend, generalize, ... See full document

... Then pair ( f , S) as well as (g, T ) have a coincidence point. Moreover, f ,g, S and T have a unique common fixed point in X provided both the pairs ( f , S) and (g, T ) are weakly compatible. ... See full document

... any metric linear space. F is called fuzzy mapping iff F is a mapping from the set Y into W(X), that is F(y) ∈ W(X) for each y ∈ Y and the function value F(y, x) stands for the grade of membership of x in ... See full document

... are fuzzy sets. Description of system behavior in the language of fuzzy rules lowers the need for precision in data gathering and data manipulation, and in effect may be viewed as a form of data ... 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

... continuous point of (%, -, ) ...discontinuous point of is (%, -, ) , we can choose a continuous point E of (%, -, ) and (%, -, ) in ( r − /, r ) to replace r .... Using the inequality ... See full document

... turning point in the development of fuzzy mathematics when the notion of fuzzy set was introduced by ...intuitionistic fuzzy sets. D.Coker [4] introduced the concept of intuitionistic ... See full document

... intuitionistic fuzzy metric space if X is an arbitrary (non- empty) set, * is a continuous t-norm, ◊ a continuous t-conorm and M,N are fuzzy sets on X 2 ×[0,∞), satisfying the following conditions : ... See full document

... of fuzzy sets has evolved in many directions after investigation of the notion of fuzzy set by ...of fuzzy metric space in different ...a fuzzy metric space introduced by ... See full document

... A fuzzy set μ of a metric space X is defined by its membership function μ(x), which is a mapping from X into ...all fuzzy mappings on X, that is, F(X) := { μ | μ : X → [, ] } ...the fuzzy set ... See full document

... intuitionistic fuzzy metric space (X, M, N,*, ◊),is said to be weakly compatible if they commute at coincidence points, ...Common Fixed Point Theorem in Intuitionistic Fuzzy ... See full document

... a fuzzy metric space X, M, ∗ such that A, S satisfies the property ...a fuzzy contraction with respect to S and SX is a closed subset of ...a point of coincidence, whereas the pair A, S has a ... See full document

... of fuzzy contraction map- pings and proved a fixed point theorem for fuzzy contraction mappings in a complete metric linear spaces, which seems to be the first to establish a fuzzy ... See full document

... semicompatibility, and an implicit relation. In the sequel, we derive a characterization of this implicit relation if it is in linear form and use the same for obtaining some results in fixed points. ... See full document

... Abstract. In this paper, we generalize Fuzzy Banach contraction theorem estab- lished by V. Gregori and A. Sapena [Fuzzy Sets and Systems 125 (2002) 245-252] using notion of altering distance which ... See full document

... Aamri and El Moutawakil [2] defined the (E.A) property for self mappings whose class contains the class of noncompatible as well as compatible mappings. Common property (E.A) is introduced by Ali et al. [3]. It is ... See full document

... 2-metric spaces in a series of his ...2-metric spaces. In 2002, Sharma [13] introduced fuzzy 2-metric space and fuzzy 3-metric space and obtained some common ... See full document