Simultaneous system of vector equilibrium problems

Pages: 161 - 174, Volume 5, Issue 1, February 2009

doi:10.3934/jimo.2009.5.161       Abstract        Full Text (208.2K)       Related Articles

Kenji Kimura - Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan 80424, Taiwan (email)
Yeong-Cheng Liou - Department of Information Management, Cheng Shiu University, No.840, Chengcing Rd., Niaosong Township, Kaohsiung County 833, Taiwan, R.O.C., Taiwan (email)
David S. Shyu - Department of Finance, National Sun Yat-sen University, Kaohsiung, Taiwan 80424, Taiwan (email)
Jen-Chih Yao - Department of Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan 80424, Taiwan (email)

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.

Keywords:  Vector equilibrium problem, upper-semicontinuous, lower-semicontinuous.
Mathematics Subject Classification:  46A40, 47H14, 49J, 54C60, 54C08, 90C, 65K.

Received: January 2008;      Revised: November 2008;      Published: December 2008.