摘要
In this paper,the generalized Hessian matrix and the generalized second-order directional（?）erivative for C<sup>1,1</sup>vector functions are defined.The extension of the vector second-order Taylorexpansion is derived.The second-order necessary and sufficient conditions for the local nondominatedsolutions associated with the given convex cone and polyhedral convex cone of the generalizedmultiobjective mathematical programming problem with C<sup>1,1</sup>constrained functions are discussed.
In this paper,the generalized Hessian matrix and the generalized second-order directional(?)erivative for C^(1,1)vector functions are defined.The extension of the vector second-order Taylorexpansion is derived.The second-order necessary and sufficient conditions for the local nondominatedsolutions associated with the given convex cone and polyhedral convex cone of the generalizedmultiobjective mathematical programming problem with C^(1,1)constrained functions are discussed.
