Journal
OPTIMIZATION
Volume 71, Issue 16, Pages 4879-4903Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02331934.2021.1970750
Keywords
Nonregular problems; optimality conditions; generalized constraint qualifications
Funding
- Plan Estatal 2013-2016 Excelencia -Proyectos I+D, Spain [MTM2015-66185-P]
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This research presents higher-order necessary optimality conditions for mixed-constrained problems, introducing new generalized regularity conditions and deriving Karush-Kuhn-Tucker type results. The study also discusses the connections between these new regularity conditions and the Lagrange multipliers set, with examples provided for illustration.
We present higher-order necessary optimality conditions for mixed-constrained problems. We study the case when the constraints of the problems are not assumed to be regular at a solution. We introduce some new generalized regularity conditions and we obtain Karush-Kuhn-Tucker type necessary optimality conditions. Also, we discuss the connections between these new regularity conditions and the Lagrange multipliers set. Some examples are presented to illustrate our results.
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