Optimality conditions and duality theorems for non-Lipschitz optimization problems.
Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems
2000 Mathematics Subject Classification: Primary 90C29; Secondary 90C30. In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C^1, but not necessarily of class C^(1.1).
Optimality Conditions for D.C. Vector Optimization Problems under D.C. Constraints
2000 Mathematics Subject Classification: Primary 90C29; Secondary 49K30. In this paper, we establish necessary optimality conditions and sufficient optimality conditions for D.C. vector optimization problems under D.C. constraints. Under additional conditions, some results of [9] and [15] are also recovered.
Epi-differentiability and optimality conditions for an extremal problem under inclusion constraints.
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