Glasnik Matematicki, Vol. 35, No.2 (2000), 313-334.

INTEGRATION OF MULTIFUNCTIONS WITH RESPECT TO A MULTIMEASURE

H. E. Brink and P. Maritz

Department of Mechanical Engineering, Technikon Free State, Private BAg X20539, Bloemfontein 9300, South Africa
e-mail: hbrink@eng.tofs.ac.za

Department of Mathematics, University of Stellenbosch, Private Bag X1, Matieland 7602, South Africa
e-mail: pm@land.sun.ac.za


Abstract.   We define the bilinear integral of a measurable multifunction with respect to a multimeasure and study the properties of the resulting set-valued set function.

1991 Mathematics Subject Classification.   28B20, 46G10, 46B22.

Key words and phrases.   Integration, multifunction, multimeasure.


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