A New Abadie-Type Constraint Qualification for General Optimization Problems

M. Alavi Hejazi () and N. Movahedian ()
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M. Alavi Hejazi: Iran National Science Foundation (INSF)
N. Movahedian: University of Isfahan

Journal of Optimization Theory and Applications, 2020, vol. 186, issue 1, No 5, 86-101

Abstract: 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.

Keywords: Nonsmooth analysis; Pseudo-Jacobian; Constraint qualification; Necessary optimality condition; 90C46; 49J52 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-020-01691-0

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