Existence of solutions to set equilibrium problems under domination structure and applications
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Abstract
In this paper, we investigate set-valued equilibrium problems under domination structures in topological spaces without assuming any linear structure. The existence of solutions is established via a direct approach, without relying on the convexity of the constraint sets and objective mappings, or on fixed point principles and Ekeland’s variational principles. The obtained results are further applied to variational inequalities and traffic network equilibrium problems. Moreover, numerical examples are provided to illustrate the applicability of the obtained results.
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