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On the stability of approximate solutions to set-valued equilibrium problems

Authors: 

Lam Quoc Anh, Pham Thanh Duoc, Tran Ngoc Tam

Source title: 
Optimization, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

In this paper, we consider set-valued equilibrium problems in Hausdorff locally convex topological vector spaces. Based on linear scalarization techniques for sets, we study sufficient conditions for the stability of approximate solutions to such problems. Variational inequalities with equilibrium constraints and weak traffic network equilibrium problems are also discussed as applications of the main results.