Abstract
Using quasimonotone and pseudomonotone bifunctions, we derive existence results for the following equilibrium problem: given a closed and convex subsetK of a real topological vector space, find\(\bar x \in K\) such that\(F(\bar x,y) \geqslant 0\) for ally∈K. In addtion, we study the solution set and the uniquencess of a solution. The paper generalizes results obtained recently for variational inequalities.
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Bianchi, M., Schaible, S. Generalized monotone bifunctions and equilibrium problems. J Optim Theory Appl 90, 31–43 (1996). https://doi.org/10.1007/BF02192244
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DOI: https://doi.org/10.1007/BF02192244