Convergence of a splitting inertial proximal method for monotone operators

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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.

Keywords

Monotone operators
Enlargements
Proximal point algorithm
Cocoercivity
Splitting algorithm
Projection
Convergence

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