| 摘要: |
| 本文研究了拟平衡问题解的存在性问题. 利用对Subinvex 函数在Rl 空间上的类变分问题的讨论及凸规划问题与平衡问题的同解性理论, 把次不变凸(Subinvex) 函数特征由原Rl 空间推广到一般拓扑线性空间的平衡问题上, 得到一类称之为拟平衡问题的解的存在性问题相关理论. |
| 关键词: 次不变凸函数 拟平衡 拓扑线性空间 |
| DOI: |
| 分类号:O174.13 |
| 基金项目:教育部人文社会科学研究项目(15YJCZH201);上海市教育委员会科研创新项目基金资助(14YZ134). |
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| A CLASS OF QUASI-EQUILIBRIUM PROBLEM RELATED TO SUBINVEX FUNCTIONS |
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CAO Yu-ru, ZHENG Ji-ming
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School of Business Information, Shanghai University of International Business and Economics, Shanghai 201620, China
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| Abstract: |
| The problem of quasi-equilibrium problems' solutions is researched in this paper. By discussing of subinvex functions' quasi-variational problem on space Rl and the same solutions theory of convex-programming and equilibrium, we solve the problems of mending the feature of the subinvex function to topological linear space from the original space Rl. The solution of quasi-equilibrium problems is obtained. |
| Key words: subinvex function quasi-equilibrium topological linear space |