运筹学学报 >
2018 , Vol. 22 >Issue 3: 79 - 88
DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2018.03.008
含参广义集值向量均衡问题有效解映射下半连续的最优条件
收稿日期: 2016-05-31
网络出版日期: 2018-09-15
基金资助
国家自然科学基金(Nos. 11061023, 11201216), 中国博士后科学基金(No. 2015M582047), 江西省青年基金(No. GJJ161597)
Received date: 2016-05-31
Online published: 2018-09-15
在实Hausdorff拓扑向量空间中研究一类含参广义集值向量均衡问题弱有效解与有效解映射的下半连续性. 在近似锥-次类凸的条件下, 运用标量化的方法得到弱有效解的标量化结果. 在适当条件下, 得到含参广义集值向量均衡问题弱有效解与有效解映射下半连续性定理.
关键词： 弱有效解; 有效解; 解映射; 下半连续性; 含参广义集值向量均衡问题
孟旭东, 王三华, 龚循华 . 含参广义集值向量均衡问题有效解映射下半连续的最优条件[J]. 运筹学学报, 2018 , 22(3) : 79 -88 . DOI: 10.15960/j.cnki.issn.1007-6093.2018.03.008
The lower semicontionuity of weak efficient solution and efficient solution mappings to a class of parametric generalized set-vector equilibrium problems in real Hausdorff topological vector spaces are studied. Under the condition of nearly cone-subconvexlike, scalar characterization of weak efficient solution is given by using the scalar method. Under some suitable assumptions, the lower semicontionuity theorem of weak efficient solution and efficient solution mappings to the parametric generalized set-vector equilibrium problems are gained.
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