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초록
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. © 2009 The Korean Mathematical Society.
키워드
Denjoy integral; Denjoy-Pettis integral; Set-valued mapping
- 제목
- Convergence theorems for set-valued Denjoy-Pettis integrable mappings
- 저자
- Park, Chun-kee
- 발행일
- 2009
- 유형
- Article
- 저널명
- 대한수학회논문집
- 권
- 24
- 호
- 2
- 페이지
- 227 ~ 237