Representation theorems for multivalued pramarts

Fettah Akhiat; Fatima Ezzaki

doi:10.4134/JKMS.2013.50.1.1

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J. Korean Math. Soc. 2013; 50(1): 1-16

Printed January 1, 2013

https://doi.org/10.4134/JKMS.2013.50.1.1

Representation theorems for multivalued pramarts

Fettah Akhiat and Fatima Ezzaki

Laboratoire Mod\'elisation et Calcul Scientifique, Laboratoire Mod\'elisation et Calcul Scientifique

Abstract

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Abstract

Existence of pramarts selectors for multivalued pramart who\-se values are convex weakly compact subsets of a separable Banach space $E$ (resp. subsets of a dual space $E^*$) are established. Representation theorems for multivalued pramarts are also presented.

Keywords: multifunctions, Banach space, dual space, pramarts, sub-pramarts, pramarts selectors

MSC numbers: Primary 28B20, 60G42, 46A17, 46A20, 54A20