Properties of continuous maps and bounded linear operators in fuzzy normed spaces

Article type: Research Article

Authors: Al-Qubati, Abdulgawad A. Q.^a | Zedam, Lemnaouar^{b; *}

Affiliations: [a] Department of Mathematics, University of Hodeidah, Hodeidah, Yemen | [b] Laboratory of Pure and Applied Mathematics, Department of Mathematics, Med Boudiaf University - Msila, Ichbilia, Msila, Algeria

Correspondence: [*] Corresponding author. Lemnaouar Zedam, Laboratory of Pure and Applied Mathematics, Department of Mathematics, Med Boudiaf University - Msila, P.O.Box 166, Ichbilia, Msila 28000, Algeria. Tel.: +213 662459928; Fax: +213 35553279; E-mail: [email protected].

Abstract: In this paper some interesting relationships known between continuous, sequentially continuous, strongly continuous maps, bounded and weakly bounded linear operators on the crisp normed spaces are generalized to the case of fuzzy normed spaces.

Keywords: Fuzzy metric space, fuzzy normed space, continuous map, bounded linear operator

DOI: 10.3233/IFS-151576

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 1, pp. 127-133, 2015