Gauge integrals and selections of weakly compact valued multifunctions

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• 作者：Domenico Candeloro^a ; ^{domenico.candeloro@unipg.it" class="auth_mail" title="E-mail the corresponding author} ; Luisa Di Piazza^b ; ^{luisa.dipiazza@unipa.it" class="auth_mail" title="E-mail the corresponding author} ; Kazimierz Musiał^c ; ^{musial@math.uni.wroc.pl" class="auth_mail" title="E-mail the corresponding author} ; Anna Rita Sambucini^a ; ^{anna.sambucini@unipg.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Multifunction ; Set-valued Pettis ; Henstock and McShane integrals ; Selection
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 September 2016
• 年：2016
• 卷：441
• 期：1
• 页码：293-308
• 全文大小：456 K

文摘

In the paper Henstock, McShane, Birkhoff and variationally multivalued integrals are studied for multifunctions taking values in the hyperspace of convex and weakly compact subsets of a general Banach space X. In particular the existence of selections integrable in the same sense of the corresponding multifunctions has been considered.