Acta Mathematica Vietnamica
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THE NORMALIZED DUALITY MAPPING AND TWO RELATED CHARACTERISTIC PROPERTIES OF A UNIFORMLY CONVEX BANACH SPACE
BUI TRONG KIENpp. 53-67
Abstract
This paper is devoted to the study of some properties of the normalized duality mapping and two related characteristic properties of a uniformly convex Banach space. In particular, a theorem due to J. Prüß is extended. Based on this extention of the theorem of Prüß, some new results on the continuity of the metric projection onto a family of closed convex sets in uniformly convex Banach spaces are obtained.