Convergence of a splitting inertial proximal method for monotone operators

Abstract : A forward-backward inertial procedure for solving the problem of finding a zero of the sum of two maximal monotone operators is proposed and its convergence is established under a cocoercivity condition with respect to the solution set.
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Abdellatif Moudafi, M. Oliny. Convergence of a splitting inertial proximal method for monotone operators. Journal of Computational and Applied Mathematics, Elsevier, 2003, 155 (2), pp.447-454. ⟨10.1016/S0377-0427(02)00906-8⟩. ⟨hal-00780778⟩

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