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Zbl 1187.90286
Huang, Nan Jing; Li, Jun; Thompson, H.B.
Stability for parametric implicit vector equilibrium problems.
(English)
[J] Math. Comput. Modelling 43, No. 11-12, 1267-1274 (2006). ISSN 0895-7177

Summary: We consider a class of parametric implicit vector equilibrium problems in Hausdorff topological vector spaces where a mapping $f$ and a set $K$ are perturbed by parameters $\epsilon$ and $\lambda$, respectively. We establish sufficient conditions for the upper semicontinuity and lower semicontinuity of the solution set mapping $S\colon\Lambda_1\times\Lambda_2\to 2^X$ for such parametric implicit vector equilibrium problems.
MSC 2000:
*90C33 Complementarity problems
90C31 Sensitivity, etc.

Keywords: parametric implicit vector equilibrium problems; upper semicontinuity; lower semicontinuity; $C$-convex; solution set mapping

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