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.  
Fund Project:Supported by the Fundamental Research Funds for the Central Universities (Grant No.CDJXS10100008).
Author NameAffiliation
Jing Zhe LI College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China 
Hong Wei LIANG College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China 
Dan ZHAO College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China 
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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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