In this paper, a characterization for continuous product in a fuzzy normed algebra is established and it is proved that any fuzzy normed algebra is with continuous product. Another type of continuity for the product in a fuzzy normed algebras is introduced and studied. These concepts are illustrated by some examples. Also, the Cartesian product of fuzzy normed algebras is analyzed.
In the present paper some different types of boundedness in fuzzy normed linear spacesof type (X, N, ∗), where is an arbitrary t-norm, are considered. These boundedness concepts arevery general and some of them have no correspondent in the classical topological metrizable linearspaces. Properties of such bounded sets are given and we make a comparative study among thesetypes of boundedness. Among them there are various concepts concerning symmetrical properties ofthe studied objects arisen from the classical setting appropriate for this journal topics. We establishthe implications between them and illustrate by examples that these concepts are not similar.
In this paper a new concept of comparison function is introduced and discussed and some fixed point theorems are established for ϕ-contractive mappings in fuzzy normed linear spaces. In this way we obtain fuzzy versions of some classical fixed point theorems such as Nemytzki-Edelstein's theorem and Maia's theorem.
In this paper are presented some evaluations regarding characterizations of power boundedness of an operator from B P (X) algebra. This represents a generalization from the Banach spaces framework to the locally convex spaces where the operators acting on them are universally bounded. The authors extend some Ritt type theorems according to Kreiss conditions in the context of B P (X) algebra.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.