Regularity aspects of non-additive set multifunctions

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• 作者：Alina Gavriluţ ; ^{gavrilut@uaic.ro" class="auth_mail" title="E-mail the corresponding author} ; Gabriela Apreutesei ^{gapreutesei@yahoo.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Wijsman topology ; Monotone set multifunction ; Multisubmeasure ; Regularity ; Exhaustive ; Order continuous ; Continuous from below ; Continuous from above
• 刊名：Fuzzy Sets and Systems
• 出版年：2016
• 出版时间：1 December 2016
• 年：2016
• 卷：304
• 期：Complete
• 页码：94-109
• 全文大小：377 K

文摘

In this paper, continuity properties of set multifunctions, such as regularity and continuity from above and below (as well as others), are introduced by way of a Wijsman topology. Some of the relationships between them are established. Different examples, counterexamples and applications are provided.