Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems

Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
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DOI:
10.1016/j.jmaa.2004.03.014
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发表时间:
2004-06
影响因子:
1.3
通讯作者:
L. Q. Anh;P. Q. Khanh
L. Q. Anh;P. Q. Khanh
中科院分区:
数学3区
文献类型:
--
作者:
L. Q. Anh;P. Q. Khanh

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本文建立了含参多值向量拟平衡问题解集连续的充分条件。我们考虑了所有类型的非连续性:下非连续性,上非连续性,Hausdorff上非连续性和闭性.此外,我们还研究了拟平衡问题的“弱”解和“强”解。
In this paper we establish sufficient conditions for the solution set of parametric multivalued vector quasiequilibrium problems to be semicontinuous. All kinds of semicontinuity are considered: lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity and closedness. Moreover, we investigate both the “weak” and “strong” solutions of quasiequilibrium problems.