Abstract
The purpose of this talk is to show that the technique developed by Levitin, Miljutin and Osmolovskii (1974, 1978) can easily be applied to optimization problems with nonscalar valued objective functions.
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References
Ioffe, A.D. (1979). Necessary and sufficient conditions for a local minimum, 2: Conditions of Levitin-Miljutin-Osmolovskii type. SIAM J. Control and Optimization, Vol 17: 251–265
Levitin, E.S., Miljutin, A.A., and Osmolovskii, N.P. (1974). On conditions for a local minimum in a problem with constraints. Mathematical Economics and Functional Analysis, Mitjagin, ed., Nauka, Moscow: 139–202 (In Russian)
Levitin, E.S., Miljutin, A.A., and Osmolovskii, N.P. (1978). Higher order conditions for a local minimum in problems with constraints. Uspechi Mate-mat. Nauk XXXIII, 6(204): 85–148 (In Russian).
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Vlach, M. (1984). Levitin—Miljutin—Osmolovskii Conditions for Local Pareto Optimality. In: Grauer, M., Wierzbicki, A.P. (eds) Interactive Decision Analysis. Lecture Notes in Economics and Mathematical Systems, vol 229. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00184-4_10
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DOI: https://doi.org/10.1007/978-3-662-00184-4_10
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