Simultaneous system of vector equilibrium problems

Kenji Kimura; Yeong-Cheng Liou; David S. Shyu; Jen-Chih Yao

doi:10.3934/jimo.2009.5.161

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2009, Volume 5, Issue 1: 161-174. Doi: 10.3934/jimo.2009.5.161

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Simultaneous system of vector equilibrium problems

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
4.
Department of Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan 80424

Received: December 31, 2007

Revised: October 31, 2008

Published: December 2008

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Abstract

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.

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

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