[PDF] Top 20 Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations

... gave applications to matrix ...nondecreasing mappings and applied to obtain a unique solution for a first order ordinary differential equation with periodic boundary ...fixed point problems have ... See full document

... fixed point theorems for Lipschitz- type fuzzy mappings in complete metric ...As applications, we establish some com- mon fixed point theorems for Lipschitz-type ... See full document

... the fuzzy set concept plays an important role in many scientific and engineering ...of fuzzy sets was introduced initially by Zadeh [] in ...of fuzzy mapping and proved a fixed point theorem ... See full document

... of fuzzy sets have so far appeared in the literature, see, for example, [2, 13, ...of fuzzy sets provides a firm mathematical framework in which vague conceptual phenomena can be rigor- ously ...some ... See full document

... Fixed point theory is very important in mathematics and has applications in many ...fixed point theorems for various mappings in different metric ... See full document

... If κ > 10 1 or ζ > 10 1 , then θ (κ, ζ ) = 0, and so θ (κ, ζ )ϑ(d(T κ, T ζ )) ≤ h(κ, ζ )ϑ(R(κ, ζ )). Hence T is a generalized θ -h-ϑ-contraction type mapping. Obviously, other hypotheses of Theorem 2.2 are ... See full document

... of fuzzy set has led to a rich growth of fuzzy ...of fuzzy metric in different ...intuitionistic fuzzy set. The notion of intuitionstic fuzzy metric space defined by Park [8] is a ... See full document

... of fuzzy sets was introduced by Zadeh ...of fuzzy sets and applications. The concept of fuzzy metric space was introduced by Kramosil and Michalek ...of fuzzy metric ...M- fuzzy ... See full document

... of fuzzy sets, many authors have extensively developed the theory of fuzzy sets and ...of fuzzy metric space and defined a Hausdorff topology on this fuzzy metric space which have very ... See full document

... the fixed point has important applications in fields such as differential equations, equilibrium pro- blems, variational inequality, optimization problems, maxmin problems ...of ... See full document

... tic fuzzy differential equation is a candidate to describe the occurrence of the phenomenon or the unknown initial ...and fuzzy differential equations, and we investigate the existence and multiple ... See full document

... Fixed point theorems for fuzzy mappings, an important tool for showing existence and uniqueness of solutions to fuzzy differential and integral equations, have recently ... See full document

... type mappings on a complete metric space ...extend fixed point of weak contractions to cone metric ...and ordinary differential equations could be sourced from ( [15], [3], [13], ... See full document

... of fuzzy metric space due to Kramosil and Michalek []. Many fixed point theo- rems in complete fuzzy metric spaces in the sense of George and Veeramani (GV) [, ] have been ...fixed point ... See full document

... The result of Zhang and Song 8 generalized the results in 2, 3, 5, 6. Motivated by Chang 7, Zhang and Song 8, it is natural to ask whether there is a common fixed point of f and g in X satisfy inequality ... See full document

... application point of view, it often happens that a mapping T is a fuzzy contrac- tion on a subset Y of X but not on the entire space ...a fuzzy fixed x in Y , provided we impose a restriction on the ... See full document

... applied fixed point result in many branches of mathematics and generalized in many different ...spaces, fuzzy metric spaces, quasi metric spaces, quasi semi metric spaces, D metric spaces, and cone ... See full document

... Caristi fixed point theorem in non-Archimedean fuzzy metric ...non-Archimedean fuzzy metric space with a ∗ b ≥ max{a b − 1, 0}, let φ : X × 0, ∞ → R be a bounded-from-above function and f : X ... See full document

... a fuzzy metric space, with a ∗ b = min{a, b}, for all a, bin[0, ...self mappings on X such that the pair (A, S) is weakly subse- quentially continuous (wsc) and compatible of type (E), then pair (A, S) has ... See full document

... a fuzzy metric ...the fuzzy Edelstein contraction theorem proposed by Grabiec ...G-complete fuzzy metric spaces given by Shen et al. [] to M-complete fuzzy metric ... See full document