IJPAM: Volume 37, No. 4 (2007)

THE HENSTOCK INTEGRAL OF SET-VALUED FUNCTIONS

She Xiang Hai$^1$, Fang Di Kong$^2$, Jin Shu Chen$^3$
$^{1,2,3}$School of Science
Lanzhou University of Technology
Lanzhou, Gansu, 730050, P.R. CHINA
$^1$e-mail: [email protected]


Abstract.In this paper, the Henstock integral of set-valued functions is defined and discussed. Furthermore, the Henstock integral of set-valued functions is characterized by the real functions.

Received: March 13, 2007

AMS Subject Classification: 28B20, 26E25, 54C60, 54C65, 90A14

Key Words and Phrases: set-valued functions, the Henstock integral of set-valued functions, support functions $\sigma(x,F(t))$ of set

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 37
Issue: 4