Second-Order Enhanced Optimality Conditions and Constraint Qualifications

被引：0
|
作者：
Kuang Bai
Yixia Song
Jin Zhang
机构：
[1] The Hong Kong Polytechnic University,Department of Applied Mathematics
[2] Southern University of Science and Technology,Department of Mathematics
[3] Southern University of Science and Technology,Department of Mathematics, National Center for Applied Mathematics Shenzhen
[4] Peng Cheng Laboratory,undefined
来源：
Journal of Optimization Theory and Applications | 2023年 / 198卷
关键词：
Hölder error bounds; Nonlinear Programming; Second-order constraint qualifications; Second-order optimality conditions; 49K99; 90C30;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we study second-order necessary optimality conditions for smooth nonlinear programming problems. Employing the second-order variational analysis and generalized differentiation, under the weak constant rank (WCR) condition, we derive an enhanced version of the classical weak second-order Fritz–John condition which contains some new information on multipliers. Based on this enhanced weak second-order Fritz–John condition, we introduce the weak second-order enhanced Karush–Kuhn–Tucker condition and propose some associated second-order constraint qualifications. Finally, using our new second-order constraint qualifications, we establish new sufficient conditions for the existence of a Hölder error bound condition.
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页码：1264 / 1284
页数：20
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