[PDF] Top 20 An altering distance function in fuzzy metric fixed point theorems

... fixed point theory in metric space an important place occupies the Banach con- traction principle ...in metric spaces as well as in its various ...in fuzzy metric spaces. There are ... See full document

... Coincidence point theorem in probabilistic and fuzzy metric ...spaces. Fuzzy Sets ...D: Fixed point theorems in probabilistic metric ...fixed point theorem ... See full document

... the metric fixed point theory to a new category by introducing a control function which they called an altering distance ...in metric spaces by ...Some Fixed ... See full document

... Fixed point theory has fascinated many mathematicians since  with the celebrated Ba- nach’s fixed point ...theorem. Fixed point theory plays a major role within as well as outside ... See full document

... of fuzzy set as a method of finding ...of fuzzy graphs in 1975. Yeh and Bang [13] also introduced fuzzy graphs ...intuitionistic fuzzy relations and intuitionistic fuzzy ... 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 ... 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

... A fuzzy set in X is a function with domain X and values in [, ...a fuzzy set and x ∈ X, then the function-value A(x) is called the grade of membership of x in ...all fuzzy sets in X ... See full document

... fixed point theorems with respect to w-dis- tances in partially ordered metric spaces employing altering functions and the notation of a function involving Meir-Keeler ...fixed ... See full document

... complete metric space, β : X × X −→ [0, ∞) , ϕ ∈ ψ and S, T be L-Fuzzy mappings from X into F L (X ...arbitrary function g : X −→ X such that for all x, y ∈ X and any ζ ≥ 0, the following axioms ... See full document

... Definition 1.4. (George and Veeramani [11]). Let (X, M, ∗) be a fuzzy metric space. The open ball B (x, r, t) for t > 0 with centre x ∈ X and radius r, 0 < r < 1, is defined as B(x, r, t) = {y ∈ X ... See full document

... coupled fixed point results for two self- mappings F : X × X → X and g : X → X which satisfy rational type contractive condition in- volving a generalized altering distance ...established ... See full document

... two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering ...mon fixed point ... See full document

... significant fixed point results as a generalization of Banach Contraction Principle have been established by using the notion of alerting distance function, a new notion propounded by Khan et ... See full document

... fixed point theorems for fuzzy mappings under a G-distance function and a G -distance function in complete metric ... See full document

... M. Shabir and M. Naz [14] presented soft topological spaces and they investigated some properties of soft topological spaces. Later, many researches about soft topological spaces were studied in [2,6,7,12,14]. In these ... See full document

... of metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...the distance between two points, but we know probabilities of ... 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

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

... intuitionistic fuzzy sets as a generalization of fuzzy sets which is introduced by Zadeh ...intuitionistic fuzzy metric space with the help of continuous t-norms and continuous ... See full document