A new system of generalized quasi-variational-like inclusion in Hilbert spaces

In this paper, we consider a new system of generalized quasi-variational-like inclusion (SGQVLI) in Hilbert spaces. We suggest a new iterative algorithm for finding an approximate solution to SGQVLI, and prove the convergence of this algorithm. Our results improve and extend some known results.

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2010-01, Vol.59 (1), p.1-8
Main Authors: Qiu, Yang-Qing, Liu, Li-Wei
Format: Article
Language:English
Subjects:
Convergence criteria
Iterative algorithms
Maximal [formula omitted]-monotone mapping
System of generalized quasi-variational-like inclusion
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Summary:In this paper, we consider a new system of generalized quasi-variational-like inclusion (SGQVLI) in Hilbert spaces. We suggest a new iterative algorithm for finding an approximate solution to SGQVLI, and prove the convergence of this algorithm. Our results improve and extend some known results.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2009.06.053