Semicontinuity of Solution Mappings of Parametric Generalized Vector Equilibrium Problems

被引:0
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作者
K. Kimura
J. C. Yao
机构
[1] National Sun Yat-Sen University,Department of Applied Mathematics
关键词
-Generalized vector equilibrium problems; -Extended vector equilibrium problems; Upper semicontinuity; Lower semicontinuity; -Compactness;
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摘要
In this paper, we study the ε-generalized vector equilibrium problem (ε-GVEP) and the ε-extended vector equilibrium problem (ε-EVEP), which can be regarded as approximate problems to the generalized vector equilibrium problems (GVEP). Existence results for ε-GVEP and ε-EVEP are established. We investigate also the continuity of the solution mappings of ε-GVEP and ε-EVEP. In particular, two results concerning the lower semicontinuity of the solution mappings of ε-GVEP and ε-EVEP are presented.
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页码:429 / 443
页数:14
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