Second-Order Enhanced Optimality Conditions and Constraint Qualifications
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.
NSFC["12222106","12201531"] ; Hong Kong Research Grants Council[PolyU153036/22p] ; Shenzhen Science and Technology Program[RCYX20200714114700072] ; Guangdong Basic and Applied Basic Research Foundation[2022B1515020082]
|WOS Research Area|
Operations Research & Management Science ; Mathematics
Operations Research & Management Science ; Mathematics, Applied
|WOS Accession No|
|ESI Research Field|
Cited Times [WOS]:0
|Document Type||Journal Article|
|Department||Department of Mathematics|
1.Department of Applied Mathematics,The Hong Kong Polytechnic University,Hong Kong
2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China
3.Department of Mathematics,National Center for Applied Mathematics Shenzhen,Southern University of Science and Technology,Peng Cheng Laboratory,Shenzhen,518055,China
|Corresponding Author Affilication||Department of Mathematics; National Center for Applied Mathematics, SUSTech Shenzhen|
Bai，Kuang,Song，Yixia,Zhang，Jin. Second-Order Enhanced Optimality Conditions and Constraint Qualifications[J]. Journal of Optimization Theory and Applications,2023,198(3):1264-1284.
Bai，Kuang,Song，Yixia,&Zhang，Jin.(2023).Second-Order Enhanced Optimality Conditions and Constraint Qualifications.Journal of Optimization Theory and Applications,198(3),1264-1284.
Bai，Kuang,et al."Second-Order Enhanced Optimality Conditions and Constraint Qualifications".Journal of Optimization Theory and Applications 198.3(2023):1264-1284.
|Files in This Item:||There are no files associated with this item.|
|Recommend this item|
|Export to Endnote|
|Export to Excel|
|Export to Csv|
|Similar articles in Google Scholar|
|Similar articles in Baidu Scholar|
|Similar articles in Bing Scholar|
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.