一类半无限规划的鞍点条件  

Saddle-Point Condition of a Class of Semi-Infinite Programming

作　　者：李向有[1] 

机构地区：[1]延安大学数学与计算机学院,陕西延安716000

出　　处：《重庆师范大学学报（自然科学版）》2016年第4期10-14,共5页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.61379026);陕西省教育厅科研项目(No.14JK1840)

摘　　要：半无限规划是指约束条件有无限多个的一类规划。利用一类B-(p,r,a)不变凸函数,研究了非光滑半无限规划的鞍点问题,得到了当不完全Lagrange函数为非光滑B-(p,r,a)伪不变凸函数、约束函数为B-(p,r,a)拟不变凸函数时,鞍点充分性条件,把已有文献中可微、有限约束条件的鞍点结论推广到非光滑、无限约束条件的情形,在新的凸性下得到一些重要结果。Semi-infinite programming is a programming whose constraint functions are infinite, by a class of B-（p,r,a） invex func- tions, saddle-point problem of nonsmooth semi-infinite programming involving these functions were researched, saddle-point suffi- cient conditions were obtained when incomplete Lagrange function was B-（p, r, a） pseudo invex functions and the constraint func- tions were B-（p, r,a） quasi invex functions, saddle-point conlusions were extended from differentiable, finite constraint conditions in existed literature to nonsmooth, infinite constraint conditions, many important results were obtained under new convexity.

关 键 词：B-(p r a)不变凸函数 半无限 不完全Lagrange函数 鞍点 

分 类 号：O221.2[理学—运筹学与控制论] O224[理学—数学]