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Combined Relaxation Method for Monotone Equilibrium Problems
Authors:I. V. Konnov
Affiliation:(1) Department of Applied Mathematics, Kazan University, Kazan, Russia
Abstract:A scalar equilibrium problem which involves a monotone differentiable cost bifunction is considered. For such bifunction, a skew-symmetric type property with respect to the partial gradients is established. This property enables us to construct a new combined relaxation method and essentially simplify its line search procedure. An application to an inverse equilibrium problem is also presented.
Keywords:Monotone equilibrium problem  combined relaxation method  inverse equilibrium problem
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