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Stability of approximating solutions to parametric bilevel vector equilibrium problems and applications

Authors: Nguyen Van Hung, Nguyễn Minh Hải, Nguyen Van Hung,

https://doi.org/10.1007/s40314-019-0823-7

Publisher, magazine: ,

Publication year: 2019

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Abstract

In this paper, we establish sufficient conditions for the approximate solution mappings of parametric bilevel equilibrium problems with stability properties such as upper semicontinuity, lower semicontinuity, Hausdorff lower semicontinuity, continuity and Hausdorff continuity. Moreover, we also apply these results to parametric traffic network problems with equilibrium constraints. Many examples are provided to ensure the essentialness of the assumptions.

Tags: bilevel vector equilibrium problem; traffic network problems with equilibrium constraints; upper (lower) semicontinuity

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