Continuity of the solution mapping to parametric generalized vector equilibrium problems

Continuity of the solution mapping to parametric generalized vector equilibrium problems

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Article ID: iaor20134136
Volume: 56
Issue: 4
Start Page Number: 1515
End Page Number: 1528
Publication Date: Aug 2013
Journal: Journal of Global Optimization
Authors: ,
Keywords: global optimization, vector optimization
Abstract:

In this paper, two kinds of parametric generalized vector equilibrium problems in normed spaces are studied. The sufficient conditions for the continuity of the solution mappings to the two kinds of parametric generalized vector equilibrium problems are established under suitable conditions. The results presented in this paper extend and improve some main results in Chen and Gong (P2010), Chen and Li (2010), Chen et al. (2009), Cheng and Zhu (J Glob Optim 32:543–550, 2005), Gong ( 2008), Li and Fang (J2010), Li et al. (2010) and Peng et al. (2011).

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