On Constraint Qualifications and Sensitivity Analysis for General Optimization Problems via Pseudo-Jacobians

M. Alavi Hejazi (), N. Movahedian () and S. Nobakhtian ()
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M. Alavi Hejazi: University of Isfahan
N. Movahedian: University of Isfahan
S. Nobakhtian: University of Isfahan

Journal of Optimization Theory and Applications, 2018, vol. 179, issue 3, No 3, 778-799

Abstract: Abstract A nonsmooth and nonconvex general optimization problem is considered. Using the idea of pseudo-Jacobians, nonsmooth versions of the Robinson and Mangasarian–Fromovitz constraint qualifications are defined and relationships between them and the local error bound property are investigated. A new necessary optimality condition, based on the pseudo-Jacobians, is derived under the local error bound constraint qualification. These results are applied for computing and estimating the Fréchet and limiting subdifferentials of value functions. Moreover, several examples are provided to clarify the obtained results.

Keywords: Nonsmooth analysis; Pseudo-Jacobian; Constraint qualification; Necessary optimality condition; Sensitivity analysis; 90C46; 49J52; 90C31 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-018-1336-z

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