Simultaneous system of vector equilibrium problems

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January 2009, 5(1): 161-174. doi: 10.3934/jimo.2009.5.161

Simultaneous system of vector equilibrium problems

Kenji Kimura ^1, , Yeong-Cheng Liou ^2, , David S. Shyu ^3, and Jen-Chih Yao ^4,

1.	Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan 80424
2.	Department of Information Management, Cheng Shiu University, No.840, Chengcing Rd., Niaosong Township, Kaohsiung County 833, Taiwan, R.O.C.
3.	Department of Finance, National Sun Yat-sen University, Kaohsiung, Taiwan 80424, Taiwan
4.	Department of Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan 80424

Received January 2008 Revised November 2008 Published December 2008

Abstract
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In this paper, we study two kinds of simultaneous systems of vector equilibrium problem (SSVEP in short). We investigate the existence of SSVEP and sensitivity of solution mappings of the corresponding parametric/perturbed SSVEP. Specially, some results concerning the lower semicontinuity of the solution mapping of SSVEP are established.

Keywords: upper-semicontinuous, lower-semicontinuous., Vector equilibrium problem.

Mathematics Subject Classification: 46A40, 47H14, 49J, 54C60, 54C08, 90C, 65.

Citation: Kenji Kimura, Yeong-Cheng Liou, David S. Shyu, Jen-Chih Yao. Simultaneous system of vector equilibrium problems. Journal of Industrial & Management Optimization, 2009, 5 (1) : 161-174. doi: 10.3934/jimo.2009.5.161

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