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2008, Volume 4, Issue 1: 167-181. Doi: 10.3934/jimo.2008.4.167
This issue Previous Article On the stability of a dual weak vector variational inequality problem Next Article An implicit programming approach for the road pricing problem with nonadditive route costs

Semicontinuity of solution mappings of parametric generalized strong vector equilibrium problems

  • 1.

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

  • 2.

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

Received:  October 31, 2006
Revised:  June 30, 2007
Published:  December 2007
Abstract Related Papers Cited by
    Abstract
  • In this paper, we study the $\varepsilon$-generalized strong vector equilibrium problem ($\varepsilon$-GSVEP) and $\varepsilon$-extended vector equilibrium problem ($\varepsilon$-ESVEP) which can be regarded as approximate problems to the generalized strong vector equilibrium problems (GSVEP). Existence results for $\varepsilon$-GSVEP and $\varepsilon$-ESVEP are established. We also investigate various continuities of the solution mappings of $\varepsilon$-GSVEP and $\varepsilon$-ESVEP, respectively.
    Mathematics Subject Classification: Primary: 49J40, 49K40; Secondary: 90C31.

    Citation:
    shu

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