On the Compactness and Continuity of Uryson's Operator in Orlicz Spaces

Raed Hatamleh

Department of Mathematics, Faculty of Science and Information Technology, Jadara

University, P.O. Box 733, Irbid 21110, Jordan

Abstract

Uryson's operators are very famous in the theory of fuzzy functional analysis. This paper is dedicated to studying and generalizing many results about the compactness and the continuity of Uryson's operator in two-variables defined with integral equation on G with the norm

Also, we study the convergence of Urysons' sequences defined with the family of functions by using the convergence with respect to the defined measure and Caratheodory Condition.

Keywords: Fuzzy functional analysis; Uryson's operator; Orlicz space; measure.