孟旭东,王三华.一类含参广义向量拟均衡问题各种有效解映射的下半连续性[J].井冈山大学自然版,2017,(1):1-7 |
一类含参广义向量拟均衡问题各种有效解映射的下半连续性 |
RESEARCH ON THE LOWER SEMICONTIONUITY OF VARIOUS EFFICIENT SOLUTION MAPPINGS TO A CLASS OF PARAMETRIC GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS |
投稿时间:2016-09-19 修订日期:2016-10-12 |
DOI:10.3969/j.issn.1674-8085.2017.01.001 |
中文关键词: 有效解 解映射 下半连续性 含参广义向量拟均衡问题 |
英文关键词: efficient solution solution mapping lower semicontionuity parametric generalized vector quasi-equilibrium problems |
基金项目:国家自然科学基金项目(11201216) |
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中文摘要: |
在赋范向量空间中,引进一类含参广义向量拟均衡问题,给出各种有效解的概念。在锥-次类凸的条件下,得到各种有效解的标量化结果。在适当假设条件下,得到含参广义向量拟均衡问题各种有效解映射的下半连续性。 |
英文摘要: |
The concepts of various efficient solutions to a class of parametric generalized vector quasi-equilibrium problems in normed vector spaces are introduced. Under the condition of cone-subconvexlike, scalar characterizations of various efficient solutions are given. Combining with some suitable assumptions, the lower semicontionuity of various efficient solution mappings to the parametric generalized vector quasi-equilibrium problems are gained. |
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