| | | | | 一类非光滑多目标广义分式规划的Kuhn-Tucker型充分条件 | | | 罗和治 | | | 对一类非光滑多目标广义分式规划,给出了在广义(F,ρ)-凸性下的弱有效解、有效解、真有效解的Kuhn-Tucker型最优性充分条件,这些结果较文献中的相关条件有更广泛的适用性。
【作者单位】：浙江工业大学理学院 浙江杭州310032
【关键词】：Kuhn-Tucker型充分条件;弱有效解;有效解;真有效解
【基金】：浙江省自然科学基金资助项目(602095);浙江工业大学科技发展基金资助项目资助。
【分类号】：O221
【DOI】：cnki:ISSN:1006-4303.0.2003-06-010
【正文快照】：
0 引 言本文考虑如下的非光滑多目标广义分式规划(VFP) minE(x)=(E1(x),E2(x),…,Ep(x)),s.t.gj(x)≤0,j=1,…,r,x∈X其中Ei(x)=maxy∈Yfi(x,y)+φi(x)hi(x,y)-i(x),i=1,…,pY是Rm中的紧子集,X Rn为非空开集,gj(.):X→R是连续可微的,j=1,…,r,fi(x,y):X×Y→R,hi(x,y):X× | | |  推荐 CAJ下载  PDF下载 | | | CAJViewer7.0阅读器支持所有CNKI文件格式，AdobeReader仅支持PDF格式 | | | | On the Kuhn-Tucker sufficient conditions for a class of nonsmooth generalized Fractional multiobjective programming | | | LUO He-zhi(College of Sciences;Zhejiang University of Technology;Hangzhou 310032;China) | | | In this paper, under the assumptions of generalized (\%F,ρ\%)-convexity, we present the Kuhn-Tucker type sufficient optimality conditions for a class of nonsmooth generalized fractional multiobjective programming, in which the weak efficiency, efficiency, and proper efficiency are involved. Those conditions proposed are more applicable than those in the documents.
【Keyword】：Kuhn-Tucker sufficient condition;weakly efficient solution;efficient solution;properly efficient solution |
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