广义向量平衡问题的Holder连续性

方志苗; 王丽娜

广义向量平衡问题的Holder连续性

方志苗¹,
王丽娜²

1.
重庆大学数学与统计学院, 重庆 401331;
2.
重庆水利水电职业技术学院, 重庆 402160

详细信息

中图分类号: O224
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出版历程
- 收稿日期: 2010-12-01
- 修回日期: 2011-03-01
- 刊出日期: 2011-09-25

On the Holder continuity of generalized vector equilibrium problems

FANG Zhi-miao¹,
WANG Li-na²

1.
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China;
2.
Chongqing Water Resources and Electric Engineering College, Chongqing 402160, China

摘要

摘要: 在较弱的强伪单调假设下研究了参数广义向量平衡问题解集映射的Holder连续性, 并给出了本结果的应用例子. 推广已有文献中相应的结果.
- 广义向量平衡问题 /
- Holder 连续 /
- 弱的强伪单调
Abstract: Based on the assumptions of weaker strong pseudomonotonicity, the Holder continuity of the solution mappings to parametric generalized vector equilibrium problems in metric spaces was investigated. Examples were given to illustrate applications of the result. The results extend the recent ones in the literature.
- generalized vector equilibrium problems /
- Holder continuity /
- Weaker strong pseudomonotonicity

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参考文献(1)

[1]

{1}CHEN G Y, HUANG X X, YANG X Q. Vector Optimization: Set-Valued and Variational Analysis[M]. Berlin: Springer, 2005.
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{4}ANH L Q, KHANH P Q. On the Holder continuity of solutions to multivalued vector equilibrium problems[J]. J Math Anal Appl, 2006, 321: 308-315.
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