[1] DINH NGUYEN,GOBERNA MIHUEL A,LOPEZ MARCO A,et al.New Farkas-Type Constraint Qualifications in Convex Infinite Programming[J].ESAIM Control Optimization Calculus Variations,2007,13(3):580-597.
[2] FANG Donghui,LI Chong,NG KUNG FU.Constraint Qualifications for Extended Farkas's Lemmas and Lagrangian Dualities in Convex Infinite Programming[J].SIAM Journal on Optimization,2010,20(3):1311-1332.
[3] FANG Donghui,LI Chong,NG KUNG FU.Constraint Qualifications for Optimality Conditions and Total Lagrange Dualities in Convex Infinite Programming[J].Nonlinear Analysis:Theory,Methods & Applications,2010,73(5):1143-1159.
[4] BERTSEKAS DIMITRIP.Extended Monotropic Programming and Duality[J].Journal of Optimization Theory and Applications,2008,139(2):209-225.
[5] BOT RADUIOAN,CSENTNEK ERNO ROBERT.On a Zero Duality Gap Result in Extended Monotropic Programming[EB/OL].(2010-07-20)[2023-04-27].https:∥arxiv.org/pdf/1002.3272.
[6] DINH NGUYEN,GOBERNA MIHUEL A,VOLLE M.Duality for the Robust Sum of Functions[J].Set-Valued and Variational Analysis,2020,28:41-60.
[7] DINH NGUYEN,LONG Danghui,VOLLE MICHEL.Convex Robust Sum Optimization Problems with Conic and Set Constraints:Duality and Optimality Conditions Revisited[J].Set-Valued and Variational Analysis,2022,30(4):1381-1402.
[8] DINH NGUYEN,GOBERNA MIHUEL A,LONG Danghui,et al.Duality for Constrained Robust Sum Optimization Problems[J].Mathematical Programming,2021,189(1/2):271-297.
[9] ZALINESCU CONSTANIN.Convex Analysis in General Vector Spaces[M].New Jersey:World Scientific,2002:75-106.
[10] FANG Donghui,ANSARI QAMRUL HASAN,ZHAO Xiaopeng.Constraint Qualifications and Zero Duality Gap Properties in Conical Programming Involving Composite Functions[J].Journal of Nonlinear and Convex Analysis,2018,19(1):53-69.
[11] FANG Donghui,LI Chong,YAO JEN CHIH.Stable Lagrange Dualities for Robust Conical Programming[J].Nonlinear Convex Analysis,2015,16:2141-2158.
|
