Differential Conditions for Constrained Nonlinear Programming via Pareto Optimization

A. Pascoletti and P. Serafini ()
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A. Pascoletti: University of Udine
P. Serafini: University of Udine

Journal of Optimization Theory and Applications, 2007, vol. 134, issue 3, No 3, 399-411

Abstract: Abstract We deal with the differential conditions for local optimality. The conditions that we derive for inequality constrained problems do not require constraint qualifications and are the broadest conditions based on only first-order and second-order derivatives. A similar result is proved for equality constrained problems, although the necessary conditions require the regularity of the equality constraints.

Keywords: Differential conditions; Constraint qualifications; Local optimality; Pareto optimality (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9216-y

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