[PDF] Top 20 On fixed point theorems in fuzzy metric spaces using a control function

... 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

... 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

... coupled fixed point theorems, which generalized the result of Hu [6], Hu et ...from fuzzy metric spaces to intuitionistic fuzzy metric spaces for ... See full document

... 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

... 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 of 7 and 8. Hence % is a common fixed point of 5, 7, 6 and ...common fixed point in if we assume that the pairs (5, 6) and (7, 8) verify GHI JK property or GHI ... 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

... a fuzzy metric space is established, which also can be considered as a generalization of the fuzzy Edelstein contraction theorem introduced by ...fixed point theorem in G-complete fuzzy ... 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

... chainable fuzzy metric space and prove common fixed point theorems for four weakly compatible ...intuitionistic fuzzy metric space and prove common fixed ... 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

... of fuzzy sets was introduced by Zadeh ...defined fuzzy metric spaces in various ...generalized metric space called a G-metric ...studied fixed point theorems ... See full document

... In 2002, Aamri and Moutawakil [1] generalized the notion of non compatible mapping to E.A. property. It was pointed out in [1] that property E.A. buys containment of ranges without any continuity requirements besides ... See full document

... of fuzzy sets was introduced by Zadeh ...of fuzzy metric ...of fuzzy metric space and defined Hausdroff topology on fuzzy metric ...common fixed point ... 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

... fixed point results for f : X → X. Using the same altering distance in this paper several fixed point results are proved in complete and compact fuzzy metric spaces in- troducing ... See full document

... Following Grabiec’s approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces...[r] ... See full document

... unique fixed point in X ...by using this condition. Due to a numerous applications of the fixed point theory, from the last few decades this theory is a central topic of ...common ... See full document

... the fixed point, posses an affirmative ...in fixed point in fuzzy metric space can be viewed in [2, 3, 10, 17, ...the fixed point theorems on fuzzy ... See full document