Geodesic
Second-Order Necessary and Sufficient Efficiency Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems
Journal of convex analysis, Tome 31 (2024) no. 4, pp. 1189-1202
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We present second-order necessary and sufficient conditions for weak efficiency of nonsmooth semi-infinite multiobjective programming involving inequality, equality and set constraints in terms of the Páles-Zeidan second-order directional derivatives. Sufficient optimality conditions are established in two cases. They include the case without assumptions on generalized convexity and the case with assumptions on the 2-generalized convexity together with second-order duality theorems of Mond-Weir type.
Classification : 90C46, 90C29
Mots-clés : Second-order necessary efficiency conditions, Pales-Zeidan second-order directional derivatives, first and second-order tangent vectors, second-order constraint qualifications, nonsmooth semi-infinite multiobjective optimization problem 
@article{JCA_2024_31_4_JCA_2024_31_4_a7,
     author = {D. V. Luu and N. L. Tung},
     title = {Second-Order {Necessary} and {Sufficient} {Efficiency} {Conditions} for {Nonsmooth} {Semi-Infinite} {Multiobjective} {Optimization} {Problems}},
     journal = {Journal of convex analysis},
     pages = {1189--1202},
     year = {2024},
     volume = {31},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_4_JCA_2024_31_4_a7/}
}
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D. V. Luu; N. L. Tung. Second-Order Necessary and Sufficient Efficiency Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems. Journal of convex analysis, Tome 31 (2024) no. 4, pp. 1189-1202. http://geodesic.mathdoc.fr/item/JCA_2024_31_4_JCA_2024_31_4_a7/