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A Locally Convex Extremal Problem over Some Family of Complex Functions

✍ Scribed by Józef Baranowicz; Marcin Studniarski


Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
393 KB
Volume
146
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

We shall be concerned in this paper with mathematical programming problem of the form: Φ~0~(f) → min subject to Φ__~i~(f) ≦ 0, i = 1, 2, …, r; f where Φ~i~__(f), i = 0, 1, …, r are regularly locally convex functions is a family of complex functions that possesses an integral representation. For this problem a necessary condition for a local minimum is given.