ISSN:
1573-2878
Keywords:
Minimization with constraints
;
generalized weight function
;
characterization theorems
;
critical point
;
extremal signature
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00935299
Permalink
