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http://dx.doi.org/10.4134/CKMS.2009.24.2.227

CONVERGENCE THEOREMS FOR SET-VALUED DENJOY-PETTIS INTEGRABLE MAPPINGS  

Park, Chun-Kee (DEPARTMENT OF MATHEMATICS KANGWON NATIONAL UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.2, 2009 , pp. 227-237 More about this Journal
Abstract
In this paper, we introduce the Denjoy-Pettis integral of set-valued mappings and investigate some properties of the set-valued Denjoy-Pettis integral. Finally we obtain the Dominated Convergence Theorem and Monotone Convergence Theorem for set-valued Denjoy-Pettis integrable mappings.
Keywords
set-valued mapping; Denjoy integral; Denjoy-Pettis integral;
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