Semicontinuity of Solution Mappings of Parametric Generalized Vector Equilibrium Problems

K. Kimura and J. C. Yao ()
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K. Kimura: National Sun Yat-Sen University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2008, vol. 138, issue 3, No 7, 429-443

Abstract: Abstract 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.

Keywords: ε-Generalized vector equilibrium problems; ε-Extended vector equilibrium problems; Upper semicontinuity; Lower semicontinuity; C-Compactness (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10957-008-9386-2

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