4.1 Article

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

Journal

JOURNAL OF APPLIED MATHEMATICS
Volume -, Issue -, Pages -

Publisher

HINDAWI LTD
DOI: 10.1155/2014/414031

Keywords

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Funding

  1. National Natural Science Foundation of China [11301253, 11271112]
  2. Basic and Frontier Project of Henan [122300410268]
  3. Science and Technology Key Project of Education Department of Henan Province [14A110024]

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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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