Journal of Optimization Theory and Applications
A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces
Mathematics of Operations Research
SIAM Journal on Optimization
A bundle method for solving equilibrium problems
Mathematical Programming: Series A and B - Nonlinear convex optimization and variational inequalities
An extragradient algorithm for solving bilevel pseudomonotone variational inequalities
Journal of Global Optimization
Existence and algorithms for bilevel generalized mixed equilibrium problems in Banach spaces
Journal of Global Optimization
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We consider a bilevel problem involving two monotone equilibrium bifunctions and we show that this problem can be solved by a simple proximal method. Under mild conditions, the weak convergence of the sequences generated by the algorithm is obtained. Using this result we obtain corollaries which improve several corresponding results in this field.