Quasiconvex first order approximations

Quasiconvex first order approximations

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Article ID: iaor19931970
Country: Hungary
Volume: 15
Start Page Number: 309
End Page Number: 327
Publication Date: Nov 1990
Journal: Alkalmazott Mathematikai Lapok
Authors:
Keywords: optimization
Abstract:

The role of the concept of first order approximation introduced by A.D. Ioffe and weakened by the author is analyzed in this paper. After recalling some known results concerning convex first order approximations the geometric background for quasiconvex approximations is investigated in order to obtain Kuhn-Tucker type necessary optimality conditions in terms of quasi-subdifferentials.

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