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Keywords:
quasiequilibrium problem; lower bounded equilibrium problem; upper bounded equilibrium problem; network traffic problem; well-posedness; $C$-upper semicontinuity; $C$-lower semicontinuity
quasiequilibrium problem; lower bounded equilibrium problem; upper bounded equilibrium problem; network traffic problem; well-posedness; $C$-upper semicontinuity; $C$-lower semicontinuity
Summary:
In this paper we consider weak and strong quasiequilibrium problems with moving cones in Hausdorff topological vector spaces. Sufficient conditions for well-posedness of these problems are established under relaxed continuity assumptions. All kinds of well-posedness are studied: (generalized) Hadamard well-posedness, (unique) well-posedness under perturbations. Many examples are provided to illustrate the essentialness of the imposed assumptions. As applications of the main results, sufficient conditions for lower and upper bounded equilibrium problems and elastic traffic network problems to be well-posed are derived.
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