Open Access
2014 On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators
Hongwei Jiao, Fenghui Wang
J. Appl. Math. 2014(SI12): 1-5 (2014). DOI: 10.1155/2014/414031

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.

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Hongwei Jiao. Fenghui Wang. "On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators." J. Appl. Math. 2014 (SI12) 1 - 5, 2014. https://doi.org/10.1155/2014/414031

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07131581
MathSciNet: MR3253620
Digital Object Identifier: 10.1155/2014/414031

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI12 • 2014
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