A Practical Optimality Condition Without Constraint Qualifications for Nonlinear Programming

J.M. Martínez and B.F. Svaiter
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J.M. Martínez: University of Campinas
B.F. Svaiter: Institute of Pure and Applied Mathematics (IMPA), CNPq

Journal of Optimization Theory and Applications, 2003, vol. 118, issue 1, No 7, 117-133

Abstract: Abstract A new optimality condition for minimization with general constraints is introduced. Unlike the KKT conditions, the new condition is satisfied by local minimizers of nonlinear programming problems, independently of constraint qualifications. The new condition is strictly stronger than and implies the Fritz–John optimality conditions. Sufficiency for convex programming is proved.

Keywords: Optimality conditions; Karush–Kuhn–Tucker conditions; minimization algorithms; constrained optimization (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (13)

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DOI: 10.1023/A:1024791525441

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