Efficiency and Henig Efficiency for Vector Equilibrium Problems

被引:0
作者
X. H. Gong
机构
[1] Nanchang University,Department of Mathematics
来源
Journal of Optimization Theory and Applications | 2001年 / 108卷
关键词
vector equilibrium problems; efficiency; Henig efficiency; scalarization; existence; connectedness;
D O I
暂无
中图分类号
学科分类号
摘要
We introduce the concept of Henig efficiency for vector equilibrium problems, and extend scalarization results from vector optimization problems to vector equilibrium problems. Using these scalarization results, we discuss the existence of the efficient solutions and the connectedness of the set of Henig efficient solutions to the vector-valued Hartman–Stampacchia variational inequality.
引用
收藏
页码:139 / 154
页数:15
相关论文
共 32 条
[1]  
Borwein J. M.(1993)Superefficiency in Vector Optimization Transactions of the American Mathematical Society 338 105-122
[2]  
Zhuang D.(1994)- Journal of Optimization Theory and Applications 83 83-96
[3]  
Gong X. H.(1990)Vector Complementarity Problem and Its Equivalence with Weak Minimal Element in Ordered Spaces Journal of Mathematical Analysis and Applications 153 136-158
[4]  
Chen G. Y.(1990)A Vector Variational Inequality and Optimization over an Efficient Set Zeitschrift für Operations Research 34 1-12
[5]  
Yang X. Q.(1992)Existence of Solution for a Vector Variational Inequality: An Extension of the Hartman-Stampacchia Theorem Journal of Optimization Theory and Applications 74 445-456
[6]  
Chen G. Y.(1993)Vector Variational Inequality and Its Duality Nonlinear Analysis; Theory, Methods, and Applications 21 869-877
[7]  
Craven B. D.(1996)Existence of Solutions for a Generalized Vector Quasivariational Inequality Journal of Optimization Theory and Applications 90 321-334
[8]  
Chen G. Y.(1995)On Vector Variational Inequalities Journal of Optimization Theory and Applications 84 171-180
[9]  
Yang X. Q.(1996)On Vector Variational Inequalities Journal of Optimization Theory and Applications 89 749-769
[10]  
Chen G. Y.(1996)On Vector Quasivariational Inequalities Journal of Mathematical Analysis and Applications 203 626-638