Abstract
This paper is devoted to the study of the metric projection onto a nonempty closed convex subset of a general Banach space. Thanks to a systematic use of semi-inner products and duality mappings, characterizations of the metric projection are given. Applications to decompositions of Banach spaces along convex cones and variational inequalities are presented.
Citation
Jean-Paul Penot. Robert Ratsimahalo. "Characterizations of metric projections in Banach spaces and applications." Abstr. Appl. Anal. 3 (1-2) 85 - 103, 1998. https://doi.org/10.1155/S1085337598000451
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