一类非光滑广义分式规划的Kuhn-Tucker型最优性必要条件  

Kuhn-Tucker Type Necessary Optimality Conditions for a Class of Nonsmooth Minimax Fractional Programming

作　　者：吴惠仙[1] 罗和治[2] 

机构地区：[1]杭州电子科技大学数学系,浙江杭州310018 [2]浙江工业大学应用数学系,浙江杭州310032

出　　处：《Journal of Mathematical Research and Exposition》2007年第4期709-714,共6页数学研究与评论（英文版）

基　　金：国家自然科学基金(60473097;60673177)

摘　　要：考虑一类非线性不等式约束的非光滑minimax分式规划问题;目标函数中的分子是可微函数与凸函数之和形式而分母是可微函数与凸函数之差形式,且约束函数是可微的.在Arrow- Hurwicz-Uzawa约束品性下,给出了这类规划的最优解的Kuhn-Tucker型必要条件.所得结果改进和推广了已有文献中的相应结果.In this paper, we consider a class of nonsmooth minimax fractional programming problems with nonlinear inequality constraints, where the numerator in the objective function is in the form of sum of differentiable function and convex function while the denominator is in the form of difference of a differentiable function and a convex function, and the constrained functions are differentiable. The Kuhn-Tucker type necessary optimality conditions for such class of problems are developed under the Arrow-Hurwicz-Uzawa constraint qualification. The results obtained in this paper improve and generalize some existing results in the literature.

关 键 词：非光滑minimax分式规划 Kuhn—Tucker型必要条件 约束品性 

分 类 号：O221[理学—运筹学与控制论]