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Han, Yu; Gong, Xunhua

Semicontinuity of solution mappings to parametric generalized vector equilibrium problems. (English) Zbl 1356.49038

Numer. Funct. Anal. Optim. 37, No. 11, 1420-1437 (2016).
Summary: In this article, stability results concerning the lower semicontinuity and the Hausdorff upper semicontinuity of the solution mappings to parametric generalized vector equilibrium problems with neither the monotonicity of mappings nor any information of the solution mappings are established by using scalarization methods and a new density result.

Cited in 3 Documents

MSC:

49K40 Sensitivity, stability, well-posedness
90C31 Sensitivity, stability, parametric optimization

Keywords:

Hausdorff upper semicontinuity; lower semicontinuity; parametric generalized vector equilibrium problem; scalarization; solution mapping
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References:

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