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math.OC2011★ 2 cited
Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum monotone operators
Patrick L. Combettes, Jean-Christophe Pesquet
We propose a primal-dual splitting algorithm for solving monotone inclusions involving a mixture of sums, linear compositions, and parallel sums of set-valued and Lipschitzian oper…
math.OC2011
Monotone Operator Methods for Nash Equilibria in Non-Potential Games
Luis M. Briceno-Arias, Patrick L. Combettes
We observe that a significant class of Nash equilibrium problems in non-potential games can be associated with monotone inclusion problems. We propose splitting techniques to solve…