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An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces

Abstract

The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence theorem of the solution for quadratic minimization problem. The result of this article improved and extended the result of G. Marino and H. K. Xu and some others.

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Correspondence to Yongfu Su.

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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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Liu, L., Gu, G. & Su, Y. An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces. J Inequal Appl 2010, 717341 (2010). https://doi.org/10.1155/2010/717341

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  • DOI: https://doi.org/10.1155/2010/717341

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