SKT不变凸非线性规划的鞍点特征研究  

Study on Saddle Point Characteristics of SKT Invariant Convex Nonlinear Programming

作　　者：谢小凤 李泽民[3] 周宗放[1] 

机构地区：[1]电子科技大学经济与管理学院,四川成都611731 [2]成都东软学院基础教学部,四川成都611844 [3]重庆大学数学与统计学院,重庆400044

出　　处：《经济数学》2017年第4期21-25,共5页Journal of Quantitative Economics

基　　金：国家自然科学基金资助项目(71271043);高等学校博士学科点专项科研基金资助项目(20110185110021)

摘　　要：首先提出了一类新的非线性规划-SKT不变凸非线性规划(简称SKT不变凸).其次,在实线性赋范空间的基础上,给出了Fritz-John点和Fritz-John鞍点,Kuhn-Tucker点和Kuhn-Tucker鞍点的概念,并初步探讨了两类鞍点的特征.最后,围绕SKT不变凸及似凸的概念对鞍点的特征做了进一步的拓展.A new class of nonlinear programming,i, e. , SKT invariant convex nonlinear programming （abbreviated as SKT invariant convex） ,was proposed. On the basis of the real linear normed space, the concepts of Fritz-John point and Fritz- John saddle point, Kuhn-Tucker point and Kuhn-Tucker saddle point were given, and the characteristics of the two saddle points were discussed. Finally, based on the concept of SKT invariant and quasi convex, the characteristics of saddle points were further extended.

关 键 词：SKT广义不变凸 似凸 非线性规划 F-J鞍点 K-T鞍点 充要条件 

分 类 号：F273.1[经济管理—企业管理]