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Journal of Inequalities and Applications
Published in: Journal of Inequalities and Applications 1/2006

Open Access 01-12-2006 | Research Article

A new system of generalized nonlinear relaxed cocoercive variational inequalities

Authors: Ke Ding, Wen-Yong Yan, Nan-Jing Huang

Published in: Journal of Inequalities and Applications | Issue 1/2006

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Abstract

We introduce and study a new system of generalized nonlinear relaxed cocoercive inequality problems and construct an iterative algorithm for approximating the solutions of the system of generalized relaxed cocoercive variational inequalities in Hilbert spaces. We prove the existence of the solutions for the system of generalized relaxed cocoercive variational inequality problems and the convergence of iterative sequences generated by the algorithm. We also study the convergence and stability of a new perturbed iterative algorithm for approximating the solution.
previous article Variants of Čebyšev's inequality with applications
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Metadata
Title
A new system of generalized nonlinear relaxed cocoercive variational inequalities
Authors
Ke Ding
Wen-Yong Yan
Nan-Jing Huang
Publication date
01-12-2006
Publisher
Springer International Publishing
Published in
Journal of Inequalities and Applications / Issue 1/2006
Electronic ISSN: 1029-242X
DOI
https://doi.org/10.1155/JIA/2006/40591

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