局部Lipschitz函数在某点严格可微的一个充要条件

本文利用Ｄｉｎｉ导数来描述严格可微性，得到了局部Ｌｉｐｓｃｈｉｔｚ函数在某点严格可微的一个充要条件．

凸复合多目标优化问题的二阶最优性条件

研究了闭凸约束下凸复合多目标优化的最优性条件，利用标量凸复合优化问题的最近结果，获得了二阶必要条件；并且通过把标量化问题转化为带有非有限值凸函数的凸复合优化问题，导出了二阶充分条件．

参数约束系统的度量次正则性

运用变分法和Clarke法锥,得到非凸参数约束系统具有度量次正则性的一个充分条件,并给出其在非线性参数约束系统中的一个应用.

Optimality Conditions and Duality for Nondifferentiable Multiobjective Semi-Infinite Programming Problems with Generalized(C,α,ρ,d)-Convexity

This paper obtains sufficient optimality conditions for a nonlinear nondifferentiable multiobjective semi-infinite programming problem involving generalized(C,α,ρ,d)-convex functions.The authors formulate Mond-Weir-type dual model for the nonlinear nondifferentiable multiobjective semiinfinite programming problem and establish weak,strong and strict converse duality theorems relating the primal and the dual problems.