Convergence of a splitting inertial proximal method for monotone operators

Authors:
A. Moudafi;M. Oliny
Affiliations:
Université Antilles Guyane, DSI-GRIMAAG, 97200 Schoelcher, Martinique, France;Université Antilles Guyane, DSI-GRIMAAG, 97200 Schoelcher, Martinique, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

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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.