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Generalized elements of best approximation

โœ Scribed by L. P. Vlasov

Publisher
SP MAIK Nauka/Interperiodica
Year
1976
Tongue
English
Weight
426 KB
Volume
19
Category
Article
ISSN
0001-4346

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Let C be a closed bounded convex subset of a Banach space E which has the origin of E as an interior point and let p C denote the Minkowski functional with respect to C. Given a closed set X/E and a point u # E we consider a minimization problem min C (u, X ) which consists in proving the existence

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Let C be a closed bounded convex subset of X with 0 being an interior point of C and p C be the Minkowski functional with respect to C. Let G be a nonempty closed, boundedly relatively weakly compact subset of a Banach space X. For a point x # X, we say the minimization problem min C (x, G) is well