Abstract
We are concerned with a nonlinear programming problem with equality and inequality constraints. We shall give second-order necessary conditions of the Kuhn-Tucker type and prove that the conditions hold under new constraint qualifications. The constraint qualifications are weaker than those given by Ben-Tal (Ref. 1).
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References
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Communicated by M. Avriel
The author would like to thank Professor N. Furukawa and the referees for their many valuable comments and helpful suggestions.
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Kawasaki, H. Second-order necessary conditions of the Kuhn-Tucker type under new constraint qualifications. J Optim Theory Appl 57, 253–264 (1988). https://doi.org/10.1007/BF00938539
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DOI: https://doi.org/10.1007/BF00938539