Abstract
A generalized Dini derivative for vector-valued functions is introduced in order to obtain a set of generalized Lagrange multipliers for vector minimum points. The relationships between the boundedness of this set and the regularity conditions introduced in [2] are studied.
This work was partially supported by MURST National Research Program “Metodi per l’Ottimizzazione di Sistemi e Tecnologie (MOST)”.
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Bigi, G., Pappalardo, M. (2000). Generalized Lagrange multipliers: regularity and boundedness. In: Pillo, G.D., Giannessi, F. (eds) Nonlinear Optimization and Related Topics. Applied Optimization, vol 36. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3226-9_1
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DOI: https://doi.org/10.1007/978-1-4757-3226-9_1
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