A Class Of Fuzzy Bounded Operators And Fixed Point Theorems In Fuzzy Metric Spaces On Felbin Fuzzy Normed Linear Spaces

In this paper,we introduced the definition of the fuzzy norm of a class of fuzzy bounded operators in Felbin’s type fuzzy normed space.Furthermore,we showed that the class of fuzzy bounded operators endowed with this fuzzy norm is still a fuzzy normed space,and studied its topological structure as well as completeness.Then we introduced the concept of generalized(Φ,ψ) -weakly contractive mapping in fuzzy metric space,and generalized the concept of(Φ,ψ) -weakly contractive mapping introduced in the literature [20],proved the existence and the uniqueness of the fixed point.Finally,we considered a class of the fuzzy cyclic contractive mapping and the cyclic generalized φ-contractive mapping in the fuzzy metric space,and proved the fixed point theorems satisfying contractive conditions,generalized the conclusion of the literature [22] and the literature [24].