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| Volume 7, Number 2, August 2006, pp. 211-236 | |||||||||
| Kenji Kimura, Yeong-Cheng Liou and Jen-Chih Yao | |||||||||
| Key words: | |||||||||
| Vector equilibrium problem, vector variational inequality problem, MPEC, set-valued mappings | |||||||||
| Mathematices Subject Classification: 46A40, 47H14, 49J, 54C60, 54C08, 90C, 65K | |||||||||
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| Abstract: | |||
| In this paper, we introduce a type of parametric vector equilibrium problem with applications to related mathematical programming with equilibrium constraint problems (in short, MPEC). The existence and the closedness of the graph of solution mappings for the parametric vector equilibrium problems are established. As extensions, we also obtain some existence of MPEC problems corresponding to the lower-level problem generated by parametric vector equilibrium problems | |||
| A Parametric Equilibrium Problem with Applications to Optimization Problems under Equilibrium Constraints | ||