An Extension of the Birkhoff Integrability for Multifunctions

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• 作者：Domenico Candeloro ; Anca Croitoru ; Alina Gavriluţ…
• 关键词：Birkhoff simple integral ; Gould integral ; Mc Shane integral ; countably additive measures ; finitely additive measures ; atoms ; pointwise non ; atomic measures
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：13
• 期：5
• 页码：2551-2575
• 全文大小：691 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454
• 卷排序：13

文摘

A comparison between a set-valued Gould type and simple Birkhoff integrals of bf(X)-valued multifunctions with respect to a non-negative set function is given. Relationships among them and Mc Shane multivalued integrability is given under suitable assumptions.