Some existence of the best approximants in normed linear space is presented. A fixed point theorem for uppersemicontinuous multivalued maps with nonconvex values is used for this purpose. Previous results due to different authors are covered and extended through our method.
Multivalued Maps and the Existence of the Best Approximants / A.Carbone; G.Conti. - In: JOURNAL OF APPROXIMATION THEORY. - ISSN 0021-9045. - STAMPA. - 64:(1991), pp. 203-208. [10.1016/0021-9045(91)90074-K]
Multivalued Maps and the Existence of the Best Approximants
CONTI, GIUSEPPE
1991
Abstract
Some existence of the best approximants in normed linear space is presented. A fixed point theorem for uppersemicontinuous multivalued maps with nonconvex values is used for this purpose. Previous results due to different authors are covered and extended through our method.
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