Characterizations of metric projections in Banach spaces and applications

Jean-Paul Penot and Robert Ratsimahalo

Abstract and Applied Analysis, 1998, vol. 3, 1-19

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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:457815

DOI: 10.1155/S1085337598000451

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