Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints

Authors: Donal O'Regan, Vo Viet Tri, Nguyen Van Hung, Nguyen Van Hung, Donal O’Regan,

https://doi.org/10.1007/s11117-020-00759-5

Publisher, magazine: ,

Publication year: 2020

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Abstract

In this paper, we introduce some strong and weak bilevel vector equilibrium problems in locally convex Hausdorff topological vector spaces and present some conditions for the existence of solutions to these problems by using the Kakutani–Fan–Glicksberg fixed-point theorem. Furthermore, as a real-world application, we obtain the existence of solutions to traffic network problems with equilibrium constraints.

Tags: Bilevel vector equilibrium problems, Traffic network problems with equilibrium constraints, Existence conditions