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Iterative Algorithm for Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces

Fixed Point Theory and Applications volume 2007, Article number: 032870 (2007) Cite this article

Abstract

We first introduce and analyze an algorithm of approximating solutions of maximal monotone operators in Hilbert spaces. Using this result, we consider the convex minimization problem of finding a minimizer of a proper lower-semicontinuous convex function and the variational problem of finding a solution of a variational inequality.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

    Yonghong Yao & Rudong Chen

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  1. Yonghong Yao
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  2. Rudong Chen
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Correspondence to Yonghong Yao.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Yao, Y., Chen, R. Iterative Algorithm for Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces. Fixed Point Theory Appl 2007, 032870 (2007). https://doi.org/10.1155/2007/32870

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