| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840393 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 7 Pages |
Abstract
We propose a splitting method for solving equilibrium problems involving the sum of two bifunctions satisfying standard conditions. We prove that this problem is equivalent to find a zero of the sum of two appropriate maximally monotone operators under a suitable qualification condition. Our algorithm is a consequence of the Douglas–Rachford splitting applied to this auxiliary monotone inclusion. Connections between monotone inclusions and equilibrium problems are studied.
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Authors
Luis M. Briceño-Arias,