Stability Results for Efficient Solutions of Vector Optimization Problems

被引:0
作者
S. W. Xiang
W. S. Yin
机构
[1] Guizhou University,Department of Mathematics
来源
Journal of Optimization Theory and Applications | 2007年 / 134卷
关键词
Additive weight method; Vector optimization; Essential solutions; Efficient solutions; Additive weight solutions;
D O I
暂无
中图分类号
学科分类号
摘要
Using the additive weight method of vector optimization problems and the method of essential solutions, we study some continuity properties of the mapping which associates the set of efficient solutions S(f) to the objective function f. To understand such properties, the key point is to consider the stability of additive weight solutions and the relationship between efficient solutions and additive weight solutions.
引用
收藏
页码:385 / 398
页数:13
相关论文
共 27 条
[1]  
Benson H.P.(1977)The vector maximization problem: proper efficiency and stability SIAM J. Appl. Math. 32 64-72
[2]  
Morin T.L.(2000)Stability in vector-valued and set-valued optimization Math. Methods Oper. Res. 52 185-193
[3]  
Huang X.X.(2004)Stability for convex vector optimization problems Optimization 53 517-528
[4]  
Lucchetti R.E.(2002)Scalarization and stability in vector optimization J. Optim. Theory Appl. 114 657-670
[5]  
Miglierina E.(2005)Convergence of the minimal sets in convex vector optimization SIAM J. Optim. 15 513-526
[6]  
Miglierina E.(2005)Well-posedness and scalarization in vector optimization J. Optim. Theory Appl. 126 391-409
[7]  
Molho E.(1986)On the strategic stability of equilibria Econometrica 54 1003-1073
[8]  
Miglierina E.(1997)Generic stability on weight factor in multiobjective optimization problems PanAm. Math. J. 7 79-84
[9]  
Molho E.(2006)On essential sets and essential components of efficient solutions for vector optimization problems J. Math. Anal. Appl. 315 317-326
[10]  
Miglierina E.(1992)Essential weak efficient solution in multiobjective optimization problems J. Math. Anal. Appl. 166 230-235