Lower Semicontinuity of the Solution Sets to Parametric Generalized Vector Equilibrium Problems |
Received:December 20, 2009 Revised:November 20, 2010 |
Key Words:
parametric generalized vector equilibrium problems lower semicontinuity scalarization.
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Fund Project:Supported by the Fundamental Research Funds for the Central Universities (Grant No.CDJXS10100008). |
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Abstract: |
In this paper, by a scalarization method, the lower semicontinuity of the solution mappings to two kinds of parametric generalized vector equilibrium problems involving set-valued mappings is established under new assumptions which are weaker than the $C$-strict monotonicity. These results extend the corresponding ones. Some examples are given to illustrate our results. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2011.03.004 |
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