On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators

Hongwei Jiao and Fenghui Wang

Journal of Applied Mathematics, 2014, vol. 2014, 1-5

Abstract:

In this paper we consider a problem that consists of finding a zero to the sum of two monotone operators. One method for solving such a problem is the forward-backward splitting method. We present some new conditions that guarantee the weak convergence of the forward-backward method. Applications of these results, including variational inequalities and gradient projection algorithms, are also considered.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:414031

DOI: 10.1155/2014/414031

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