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.
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Communicated by G. Di Pillo.
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Pascoletti, A., Serafini, P. Differential Conditions for Constrained Nonlinear Programming via Pareto Optimization. J Optim Theory Appl 134, 399–411 (2007). https://doi.org/10.1007/s10957-007-9216-y
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DOI: https://doi.org/10.1007/s10957-007-9216-y