Benkenza, Najia; Gadhi, Nazih; Lafhim, Lahoussine Necessary and sufficient optimality conditions for set-valued optimization problems. (English) Zbl 1236.90109 Georgian Math. J. 18, No. 1, 53-66 (2011). Summary: Using a special scalarization employed for the first time for the study of necessary optimality conditions in vector optimization by M. C. Travain [Numer. Funct. Anal. Optimization 15, No. 5–6, 689–693 (1994; Zbl 0831.49021)], we give necessary optimality conditions for a set-valued optimization problem by establishing the existence of Lagrange-Fritz-John multipliers. Also, sufficient optimality conditions are given without any Lipschitz assumption. Cited in 1 Document MSC: 90C29 Multi-objective and goal programming 90C26 Nonconvex programming, global optimization Keywords:Banach space; Lagrange-Fritz-John multipliers; optimality condition; set-valued optimization; Pareto minimal point PDF BibTeX XML Cite \textit{N. Benkenza} et al., Georgian Math. J. 18, No. 1, 53--66 (2011; Zbl 1236.90109) Full Text: DOI