# CONVERGENCE THEOREMS FOR SET-VALUED DENJOY-PETTIS INTEGRABLE MAPPINGS

Park, Chun-Kee

• Published : 2009.04.30
• 38 5

#### 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

#### References

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