Type: Article
A New Abadie-Type Constraint Qualification for General Optimization Problems
Journal: Journal of Optimization Theory and Applications (00223239)Year: 1 July 2020Volume: 186Issue: Pages: 86 - 101
Hejazi M.A.Movahedian Attar N.a
DOI:10.1007/s10957-020-01691-0Language: English
Abstract
A non-Lipschitz version of the Abadie constraint qualification is introduced for a nonsmooth and nonconvex general optimization problem. The relationship between the new Abadie-type constraint qualification and the local error bound property is clarified. Also, a necessary optimality condition, based on the pseudo-Jacobians, is derived under the Abadie constraint qualification. Moreover, some examples are given to illustrate the obtained results. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.