The UV-Decomposition on a Class of D.C.Functions and Optimality Conditions  

作　　者：Wei Wang Li-Ping Pang Zun-Quan Xia 

机构地区：[1]School of Mathematics, Liaoning Normal University, Dalian 116029, China [2]Department of Physics, Dalian University of Technologe, Dalian 116024, China. [3]Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China

出　　处：《Acta Mathematicae Applicatae Sinica》2007年第1期29-38,共10页应用数学学报（英文版）

基　　金：Supported by the Foundations of Ph.D.Units,the Ministry of Education(20020141013);National Natural Science Foundation of China(No.10001007)

摘　　要：In this paper, the uV-theory and P-differential calculus are employed to study second-order expansion of a class of D,C, functions and minimization problems. Under certain conditions, some properties of the u-Lagrangian, the second-order expansion of this class of functions along some trajectories are formulated. Some first and second order optimality conditions for the class of D,C, optimization problems are given.In this paper, the uV-theory and P-differential calculus are employed to study second-order expansion of a class of D,C, functions and minimization problems. Under certain conditions, some properties of the u-Lagrangian, the second-order expansion of this class of functions along some trajectories are formulated. Some first and second order optimality conditions for the class of D,C, optimization problems are given.

关 键 词：Nonlinear programming nonsmooth optimization optimality condition uv-decomposition D.C. optimization 

分 类 号：O224[理学—运筹学与控制论]