华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (5): 33-41.

• 应用数学与基础数学 • 上一篇    下一篇

广义向量平衡问题的Holder连续性

方志苗 1, 王丽娜 2   

  1. 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
  • 收稿日期:2010-12-01 修回日期:2011-03-01 出版日期:2011-09-25 发布日期:2011-11-22

On the Holder continuity of generalized vector equilibrium problems

FANG Zhi-miao 1, WANG Li-na 2   

  1. 1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China; 2. Chongqing Water Resources and Electric Engineering College, Chongqing 402160, China
  • Received:2010-12-01 Revised:2011-03-01 Online:2011-09-25 Published:2011-11-22

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.

关键词: 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.

Key words: generalized vector equilibrium problems, Holder continuity, Weaker strong pseudomonotonicity

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