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Zbl 0671.49013
Chaney, Robin W.
Second-order sufficient conditions in nonsmooth optimization. (English)
[J] Math. Oper. Res. 13, No.4, 660-673 (1988). ISSN 1526-5471; ISSN 0364-765X/e

Sufficient conditions for both unconstrained and constrained problems of mathematical programming are presented, in the cases where the problem has the usual form but the functions involved are assumed only to be Lipschitz continuous. The subclass of semismooth functions receives particular attention. The unifying feature of all the results presented here is the use of a new second-order directional derivative described by the same author in a previous paper [J. Math. Anal. Appl. 128, 495-511 (1987; Zbl 0671.49012)]. See the review of this paper for further references to Chaney's work on necessary conditions which complements the sufficient conditions presented in the paper under review.
[P.Loewen]

MSC 2000:: *49J52 Nonsmooth analysis (other weak concepts of optimality)
90C30 Nonlinear programming
26B05 Continuity and differentiation questions (several real variables)
49M37 Methods of nonlinear programming type

Keywords: nonsmooth functions; Sufficient conditions; semismooth functions; second- order directional derivative

Citations: Zbl 0671.49012

Cited in: Zbl 0885.49009 Zbl 0824.90123 Zbl 0671.49012

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