On Fuzzy Modular Spaces

On Fuzzy Modular Spaces

A modular space Xρ is defined by a corresponding modular ρ, that is,Xρ = {x ∈ X : ρ(λx) → 0 as λ → 0}. Based on definition of the modular space, Kozłowski [3, 4] introduced the notion ofmodular function space. In the sequel, Kozłowski and Lewicki [5] considered the problem of analytic extension of measurable functions in modular function spaces and discussed some extension properties by means o...

Some result on modular hyperconvex spaces

some result on modular hyperconvex spaces

Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces

The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized α-admissible modular contractive mappings in modular metric spaces. As applications, we deriv...

On Fuzzy Function Spaces

In [3], we started the investigation of compactness in fuzzy function spaces in FCS, the category of fuzzy convergence spaces as defined by Lowen/Lowen/Wuyts [8]. This paper goes somewhat deeper in the investigation of fuzzy function spaces using the notion of splitting and conjoining structures on fuzzy subsets. We discuss the connection to the exponential law and give several examples of such...