Optimality conditions and duality in nonsmooth multiobjective programs.
Kim, Do Sang, Lee, Hyo Jung (2010)
Journal of Inequalities and Applications [electronic only]
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Kim, Do Sang, Lee, Hyo Jung (2010)
Journal of Inequalities and Applications [electronic only]
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Wang, Xianyun (2009)
Journal of Inequalities and Applications [electronic only]
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Tadeusz Antczak, Krzysztof Kisiel (2006)
Commentationes Mathematicae Universitatis Carolinae
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In the paper, some sufficient optimality conditions for strict minima of order in constrained nonlinear mathematical programming problems involving (locally Lipschitz) -convex functions of order are presented. Furthermore, the concept of strict local minimizer of order is also used to state various duality results in the sense of Mond-Weir and in the sense of Wolfe for such nondifferentiable optimization problems.
Nguyen Dinh, Miguel A. Goberna, Marco A. López, Ta Quang Son (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper provides KKT and saddle point optimality conditions, duality theorems and stability theorems for consistent convex optimization problems posed in locally convex topological vector spaces. The feasible sets of these optimization problems are formed by those elements of a given closed convex set which satisfy a (possibly infinite) convex system. Moreover, all the involved functions are assumed to be convex, lower semicontinuous and proper (but not necessarily real-valued)....