国产日韩欧美一区二区三区三州_亚洲少妇熟女av_久久久久亚洲av国产精品_波多野结衣网站一区二区_亚洲欧美色片在线91_国产亚洲精品精品国产优播av_日本一区二区三区波多野结衣 _久久国产av不卡

?

具有廣義C-凸性的一類分式規(guī)劃的對偶

2020-06-08 09:56李鈺嚴建軍李江榮
關(guān)鍵詞:對偶廣義分式

李鈺 嚴建軍 李江榮

3 結(jié)語

本文在已有文獻提出的新廣義凸性概念基礎(chǔ)上,針對包含此類廣義凸性的分式規(guī)劃的對偶問題進行了探討,得到的結(jié)果豐富了廣義凸性和最優(yōu)化的有關(guān)理論,可進一步研究其Wolfe型對偶性、鞍點等內(nèi)容。

參考文獻:

[1]YUAN D H, LIU X L, CHINCHULUUN A, et al. Nondifferentiable minimax fractional programming problems with (C,α,ρ,d)-convexity [J]. Journal of Optimization Theory and Application,2006,129(1):185-199.

[2]CHINCHULUUN A, PARDALOS P M. Multiobjective programming problems under generalized convexity[M]//TRN A, ILINSKAS? J. Models and Algorithms for Global Optimization. New York:Springer,2007:3-20.

[3]CHINCHULUUN A, YUAN D H, PARDALOS P M. Optimality conditions and duality for nondifferentiable multiobjective fractional programming with generalized convexity[J].Annals of Operations Research,2007,154(1):133-147.

[4]YUAN D H, CHINCHULUUN A, LIU X L, et al. Generalized Convexities and generalized gradients based on algebraic operations[J]. Journal of Mathematical Analysis and Applications,2006,321(2):675-690.

[5]YUAN D H, CHINCHULUUN A, LIU X L, et al. Optimality conditions and duality for multiobjective programming involving (C,α,ρ,d)-type-I functions[M]//KONNOV I V, LUC D T, RUBINOV A M. Lecture Notes in Economics & Mathematical Systems:Generalized Convexity and Related Topics. Berlin: Springer-Verlag, 2007:73-87.

[6]LONG X J. Optimality conditions and duality for nondifferentiable multiobjective fractional programming problems with (C,α,ρ,d)-convexity[J]. Journal of Optimization Theory and Application,2011,148(1):197-208.

[7]嚴建軍, 李鈺, 李江榮. 關(guān)于一類多目標半無限分式規(guī)劃的最優(yōu)性條件[J]. 重慶理工大學(xué)學(xué)報(自然科學(xué)), 2018,32(12):205-210.

[8]嚴建軍, 李鈺, 楊帆,等. 關(guān)于一類多目標半無限規(guī)劃的最優(yōu)性條件[J]. 貴州大學(xué)學(xué)報(自然科學(xué)版), 2019,36(2):16-20.

[9]KANZI N. Necessary and sufficient conditions for (weakly) efficient of non-differentiable multi-objective semi-infinite programming problems[J]. Iranian Journal of Science and Technology, Transactions A: Science,2018,42(3):1537-1544.

[10]CHUONG T D, KIM D S. Nonsmooth semi-infinite multiobjective optimization problems[J]. Journal of Optimization Theory and Applications, 2014,160(3):748-762.

(責(zé)任編輯:周曉南)

猜你喜歡
對偶廣義分式
The Last Lumberjacks
例談一類分式不等式問題的解法
品味對稱之美
一類特別的廣義積分
任意半環(huán)上正則元的廣義逆
例析對偶式在解三角問題中的妙用
怎樣利用對偶式處理高考解幾問題
學(xué)習(xí)分式的五個禁忌
八年級數(shù)學(xué)(下冊)期中檢測題(A)
一堂生動的分式復(fù)習(xí)課
长乐市| 綦江县| 兴城市| 鄂伦春自治旗| 西畴县| 九寨沟县| 旺苍县| 江西省| 澳门| 密云县| 新田县| 连云港市| 泽库县| 通化县| 富阳市| 临沭县| 大化| 共和县| 绥德县| 夏河县| 腾冲县| 云浮市| 忻城县| 兴安县| 鄢陵县| 阜平县| 沾益县| 闸北区| 礼泉县| 凌海市| 剑川县| 承德市| 阳朔县| 互助| 绥棱县| 唐河县| 株洲市| 北海市| 安顺市| 禄丰县| 安宁市|