[PDF] Top 20 Fuzzy Mapping and their Fixed Point Theorems in Complete Metric Spaces

... 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 ... 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, ... See full document

... every fuzzy mapping is an L-fuzzy mapping, we deduce the following ...a complete metric space, β : X × X −→ [0, ∞), ϕ ∈ ψ and S, T : X −→ I X be a pair of fuzzy ... See full document

... G-metric spaces and let f : X, G → X , G be a function, then f is said to be G-continuous at a pointa ∈ X if given > 0, there exists δ > 0 such that x, y ∈ X; Ga, x, y < δ implies G fa, fx, fy < ... See full document

... fixed point theorems in metric space by using a modified generalized F-contraction ...These theorems extend other well-known fundamental metrical fixed point theorems in the ... 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 ... 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 ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... of fuzzy sets was introduced by Zadeh ...of fuzzy sets and ...of fuzzy metric spaces in different ...the fixed point theory in the fuzzy metric spaces ... See full document

... HADZIC, 01ga Common fixed point theorems for family of mappings in complete metric spaces.[r] ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... 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

... intuitionistic fuzzy image processing is just beginning to develop; there are hardly few methods in the ...Intuitionistic fuzzy set theory has been used to extract information by re- flecting and modeling ... See full document

... common fixed point theorem generally involves conditions on commutatively, continuity, completeness together with a suitable condition on containment of ranges of involved mappings by an appropriate ... 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

... 2-normed spaces. Math. Jpn. 33, 375-384 (1988) 4. Dhage, BC: Generalized metric space and mapping with fixed ...Generalized metric space and topological structure ...generalized metric ... See full document

... modular metric which is also a generalization of cone metric, is introduced and some of its topological properties are ...a fixed point theorem in this space is proved and finally by an ... See full document

... of fuzzy sets was initiated by Zadeh ...of fuzzy metric in several ways; see, ...of fuzzy metric space introduced by Kramosil and Michalek [14] and defined a Hausdorff topology on such ... 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

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document