Author:
Cao Jiling,Reilly Ivan L.,Romaguera Salvador
Abstract
AbstractThe aim of this paper is to explore some properties of quasiuniform multifunction spaces. Various kinds of completeness of the quasiuniform multifunction space (YmX, UmX) are characterized in terms of suitable properties of the range space (Y, U). We also discuss the local compactness of quasiuniform multifunction spaces. By using the notion of small-set symmetry, the classic result of Hunsaker and Naimpally is extended to the quasiuniform setting.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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