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Journal of Inequalities and Applications
Erschienen 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

verfasst von: Ke Ding, Wen-Yong Yan, Nan-Jing Huang

Erschienen in: Journal of Inequalities and Applications | Ausgabe 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.
Vorheriger Artikel Variants of Čebyšev's inequality with applications
Nächster Artikel On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting

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Metadaten
Titel
A new system of generalized nonlinear relaxed cocoercive variational inequalities
verfasst von
Ke Ding
Wen-Yong Yan
Nan-Jing Huang
Publikationsdatum
01.12.2006
Verlag
Springer International Publishing
Erschienen in
Journal of Inequalities and Applications / Ausgabe 1/2006
Elektronische ISSN: 1029-242X
DOI
https://doi.org/10.1155/JIA/2006/40591

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