Stability for parametric implicit vector equilibrium problems

Stability for parametric implicit vector equilibrium problems
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DOI:
10.1016/j.mcm.2005.06.010
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发表时间:
2006-06
期刊:
Math. Comput. Model.
影响因子:
--
通讯作者:
N. Huang;Jun Yu Li;H. Thompson
N. Huang;Jun Yu Li;H. Thompson
中科院分区:
其他
文献类型:
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作者:
N. Huang;Jun Yu Li;H. Thompson

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本文考虑Hausdorff拓扑向量空间中的一类参数隐向量平衡问题,其中映射f和集合K分别受参数λ和λ的扰动.对于这类含参隐向量均衡问题,我们建立了解集映射S:Λ1×Λ2→ 2X的上连续和下连续的充分条件.
In this paper, we consider a class of parametric implicit vector equilibrium problems in Hausdorff topological vector spaces where a mapping f and a set K are perturbed by parameters ϵ and λ, respectively. We establish sufficient conditions for the upper semicontinuity and lower semicontinuity of the solution set mapping S:Λ1×Λ2→2Xfor such parametric implicit vector equilibrium problems.