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Digitale Medien

Characterization of minimal elements in minimization problems with constraints (1978)

Brosowski, B. ; Wuytack, L.

Springer

Journal of optimization theory and applications 24 (1978), S. 549-567

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Details

ISSN: 1573-2878

Schlagwort(e): Minimization with constraints ; generalized weight function ; characterization theorems ; critical point ; extremal signature

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract LetX be a compact Hausdorff space andC(X) be the set of all continuous functions defined onX. LetV⊂C(X), and consider the problem of minimizing sup x∈X W[x,v(x)], withv∈V. The functionW is a generalized weight function and can be chosen such that certain constraints are included. The notions of critical point and extremal signature are used to formulate characterization theorems for a minimal element inV. It is shown that these theorems hold only under certain conditions ofV andW. The results obtained are applied to the problem of the Chebyshev approximation with constraints and to the problem of optimization with strictly quasiconvex constraints.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00935299

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