Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-38, 38 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-27
Country of Publication
Egypt
No. of Pages
38
Main Subjects
Abstract EN
We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the class of mixed variational inequalities.
We establish some metric characterizations of the well-posedness by perturbations.
On the other hand, it is also proven that, under suitable conditions, the well-posedness by perturbations of a generalized mixed variational inequality is equivalent to the well-posedness by perturbations of the corresponding inclusion problem and corresponding fixed point problem.
Furthermore, we derive some conditions under which the well-posedness by perturbations of a generalized mixed variational inequality is equivalent to the existence and uniqueness of its solution.
American Psychological Association (APA)
Ceng, Lu-Chuan& Wen, Ching-Feng. 2011. Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-38.
https://search.emarefa.net/detail/BIM-993026
Modern Language Association (MLA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-38.
https://search.emarefa.net/detail/BIM-993026
American Medical Association (AMA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-38.
https://search.emarefa.net/detail/BIM-993026
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993026