Existence and iterative approximation of solutions of generalized mixed quasi-variational-like inequality problem in Banach spaces
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Author list: Kumam P., Petrot N., Wangkeeree R.
Publisher: Elsevier
Publication year: 2011
Journal: Applied Mathematics and Computation (0096-3003)
Volume number: 217
Issue number: 18
Start page: 7496
End page: 7503
Number of pages: 8
ISSN: 0096-3003
eISSN: 1873-5649
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, some existence theorems for the mixed quasi-variational-like inequalities problem in a reflexive Banach space are established. The auxiliary principle technique is used to suggest a novel and innovative iterative algorithm for computing the approximate solution for the mixed quasi-variational-like inequalities problem. Consequently, not only the existence of theorems of the mixed quasi-variational-like inequalities is shown, but also the convergence of iterative sequences generated by the algorithm is also proven. The results proved in this paper represent an improvement of previously known results. ฉ 2010 Elsevier Ltd. All rights reserved.
Keywords
Auxiliary principle technique, Cocoercive mapping, Mixed quasi-variational-like inequality problem
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