Continuous Mappings and Bounded Linear Operators in Fuzzy \(n\)-Normed Linear Spaces

Hakan Efe1
1DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AND ARTS, GAZI UNIVERSITY, TEKNIKOKULLAR, 06500 ANKARA, TURKEY

Abstract

The aim of this paper is to define different types of continuities of operators and boundedness of linear operators over fuzzy \(n\)-normed linear spaces. Also, some definitions such as fuzzy continuity, sequential fuzzy continuity, weakly fuzzy continuity, strongly fuzzy continuity, weakly fuzzy boundedness, and strongly fuzzy boundedness are given in fuzzy \(n\)-normed linear spaces. In addition, some theorems related to these definitions are proved.