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凸复合多目标优化问题的二阶最优性条件
Second-order Optimality Conditions for Convex Composite Multiobjective Optimization Problem
【摘要】 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.
【Abstract】 A convex composite multiobjective optimization problem,which subject to a closed con-vex constraint,is studied.A second-order necessary condition is obtained by using a recent result for scalar convex composite optimization.Moreover,a second order sufficient condition was derived by transforming the scalarization problem into a convex composite optimization problem with a nonfinite-valued convex function.
【关键词】 多目标优化;
最优性条件;
广义二阶方向导数;
【Key words】 multiobjective optimization; optimality condition; generalized second-order deriva- tives;
【Key words】 multiobjective optimization; optimality condition; generalized second-order deriva- tives;
【基金】 国家自然科学基金资助项目(202001036);湖北省教委基金资助项目(99C027);三峡大学科研基金资助项目(KJC01
- 【文献出处】 河北师范大学学报 , 编辑部邮箱 ,2001年03期
- 【分类号】O221.2
- 【被引频次】1
- 【下载频次】50