caa a22 4500 463168909 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10957-007-9169-1 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9169-1 Optimality Conditions for Nonsmooth Multiobjective Optimization Using Hadamard Directional Derivatives [Elektronische Daten] [P. Khanh, N. Tuan] We establish both necessary and sufficient optimality conditions for weak efficiency and firm efficiency by using Hadamard directional derivatives and scalarizing the multiobjective problem under consideration via signed distances. For the first-order conditions, the data of the problem need not even be continuous; for the second-order conditions, we assume only that the first-order derivatives of the data are calm. We include examples showing the advantages of our results over some recent papers in the literature. Springer Science+Business Media, LLC, 2007 Multiobjective optimization nationallicence Weak efficiency nationallicence Firm efficiency nationallicence Signeddistances nationallicence Hadamard directional derivatives nationallicence Calmness nationallicence Khanh P. Department of Mathematics, International University of Hochiminh City, Thu Duc, Hochiminh City, Vietnam aut Tuan N. Department of Mathematics, University of Natural Sciences of Hochiminh City, Hochiminh City, Vietnam aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/3(2007-06-01), 341-357 0022-3239 133:3<341 2007 133 10957 https://doi.org/10.1007/s10957-007-9169-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9169-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Khanh P. Department of Mathematics, International University of Hochiminh City, Thu Duc, Hochiminh City, Vietnam aut NATIONALLICENCE 700 1- Tuan N. Department of Mathematics, University of Natural Sciences of Hochiminh City, Hochiminh City, Vietnam aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/3(2007-06-01), 341-357 0022-3239 133:3<341 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer