Nguyen Quang Huy, Bui Trong Kien, Gue Myung Lee, Nguyen Van Tuyen
Published 2019-09-21Version 1
In this paper, we introduce the second-order subdifferentials for functions which are G\^ateaux differentiable on an open set and whose G\^ateaux derivative mapping is locally Lipschitz. Based on properties of this kind of second-order subdifferentials and techniques of variational analysis, we derive second-order necessary conditions for weak Pareto efficient solutions of multiobjective programming problems with constraints.
On second-order optimality conditions for $C^{1,1}$ optimization problems via Lagrangian functions
Second-Order Optimality Conditions in Cone-Constrained Vector Optimization with Arbitrary Nondifferentiable Functions
Second-order optimality conditions for bilevel programs
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