Nondifferentiable Multiobjective Programming under Generalized d-ρ-(η,θ)-Type I Univexity  

作　　者：Chun Feng WANG San Yang LIU 

机构地区：[1]Department of Mathematical Sciences, Xidian University, Shaanxi 710071, P. R. China [2]College of Mathematics and Information, Henan Normal University, Henan 453007, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2011年第4期655-664,共10页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.60674108);the Fundamental Research Funds for the Central Universities (Grant Nos.K50510700004;JY10000970006)

摘　　要：In this puper, on the basis of notions of d-p-（η, θ）-invex function, type I function and univex function, we present new classes of generalized d-p-（η, θ）-type I univex functions. By using these new concepts, we obtain several sufficient optimality conditions for a feasible solution to be an efficient solution, and derive some Mond-Weir type duality results.In this puper, on the basis of notions of d-p-（η, θ）-invex function, type I function and univex function, we present new classes of generalized d-p-（η, θ）-type I univex functions. By using these new concepts, we obtain several sufficient optimality conditions for a feasible solution to be an efficient solution, and derive some Mond-Weir type duality results.

关 键 词：multiobjective programming generalized d-p-（η  θ）-type I univexity DUALITY optimality. 

分 类 号：O221.6[理学—运筹学与控制论]