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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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1573-2878

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Studies on Common Solutions of a Variational Inequ

Authors: Z Y Huang M A Noor
Publish Date: 2012/03/03
Volume: 154, Issue: 2, Pages: 525-535
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Abstract

In this paper we construct a new projection method and prove the strong convergence for finding a common element of a set of fixed points of strict pseudocontractions and a set of solutions of a variational inequality with inverse strongly monotone mappings in the setting of real Hilbert spaces Our results improve and extend the recent results by Huang Noor and AlSaid J Optim Theory Appl 1471194–204 2010 Takahashi and Toyoda J Optim Theory Appl 1182417–428 2003The research of Professor Dr ZY Huang is supported by National Natural Science Foundation of China NSFC Grant No 10871092 supported by the Fundamental Research Funds for the Central University of China Grant No 1113020301 and Grant No 1116020301 and supported by A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions PAPD Grant

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