Existence and Iterative Algorithm of Solutions for a System of Generalized Nonlinear Mixed Variational-Like Inequalities
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We introduce and study a system of generalized nonlinear mixed variational-like inequality problems (SGNMVLIPs) in Banach spaces.
The auxiliary principle technique is applied to study the existence and iterative algorithm of solutions for the SGNMVLIP.
First, the existence of solutions of the auxiliary problems for the SGNMVLIP is shown.
Second, an iterative algorithm for solving the SGNMVLIP is constructed by using this existence result.
Finally, not only the existence of solutions of the SGNMVLIP is shown but also the convergence of iterative sequences generated by the algorithm is also proven.
The technique and results presented in this paper generalize and unify the corresponding techniques and results given in the literature.
American Psychological Association (APA)
Du, Yan-Mei. 2012. Existence and Iterative Algorithm of Solutions for a System of Generalized Nonlinear Mixed Variational-Like Inequalities. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993007
Modern Language Association (MLA)
Du, Yan-Mei. Existence and Iterative Algorithm of Solutions for a System of Generalized Nonlinear Mixed Variational-Like Inequalities. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993007
American Medical Association (AMA)
Du, Yan-Mei. Existence and Iterative Algorithm of Solutions for a System of Generalized Nonlinear Mixed Variational-Like Inequalities. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993007
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993007