REFINEMENTS OF NECESSARY OPTIMALITY CONDITIONS IN NONDIFFERENTIABLE PROGRAMMING .1.

被引:75
作者
HIRIARTURRUTY, JB
机构
[1] Department of Mathematics, University of Kentucky, Lexington, 40506, Kentucky
关键词
D O I
10.1007/BF01442544
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this study, we develop general optimality conditions of both Fritz John and Kuhn-Tucker type for an optimization problem with nondifferentiable data. The already known conditions are sharpened by considering globally the vector-valued function defined by all the functions involved in the problem. The multipliers for the constrained problem are constructed as limit values of multipliers for unconstrained perturbed versions of the problem. Regularity assumptions yielding Kuhn-Tucker type results are formulated in terms of constant rank condition, maximal rank condition, etc., for a subset of matrices associated to the data of the problem. © 1979 Springer-Verlag New York Inc.
引用
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页码:63 / 82
页数:20
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