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Higher-order optimality conditions for a minimax

Published:1996-12 Issue:3 Volume:54 Page:509-516
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Van Luu Do,Oettli W.

Abstract

Higher-order necessary and sufficient optimality conditions for a nonsmooth minimax problem with infinitely many constraints of inequality type are established under suitable basic assumptions and regularity conditions.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Directional derivative calculus and optimality conditions in nonsmooth mathematical programming;Ward;J. Inform. Optim. Sci.,1989

2. Stability in Mathematical Programming with Nondifferentiable Data

3. Exact penalties and sufficient conditions for optimality in nonsmooth optimization

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Second-order efficiency conditions for $C^{1,1}$-vector equilibrium problems in terms of contingent derivatives and applications;Journal of Nonlinear and Variational Analysis;2019

2. Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones;Numerical Functional Analysis and Optimization;2013-12-09

3. Invexity of supremum and infimum functions;Bulletin of the Australian Mathematical Society;2002-04

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