Metric Characterizations of α-Well-Posedness for a System ofMixed Quasivariational-Like Inequalities in Banach Spaces
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-01
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The purpose of this paper is to investigate the problems of the well-posedness for a system of mixed quasivariational-like inequalities in Banach spaces.
First, we generalize the concept of α-well-posedness to the system of mixed quasivariational-like inequalities, which includes symmetric quasi-equilibrium problems as a special case.
Second, we establish some metric characterizations of α-well-posedness for the system of mixed quasivariational-like inequalities.
Under some suitable conditions, we prove that the α-well-posedness is equivalent to the existence and uniqueness of solution for the system of mixed quasivariational-like inequalities.
The corresponding concept of α-well-posedness in the generalized sense is also considered for the system of mixed quasivariational-like inequalities having more than one solution.
The results presented in this paper generalize and improve some known results in the literature.
American Psychological Association (APA)
Ceng, Lu-Chuan& Lin, Yen-Cherng. 2011. Metric Characterizations of α-Well-Posedness for a System ofMixed Quasivariational-Like Inequalities in Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993093
Modern Language Association (MLA)
Ceng, Lu-Chuan& Lin, Yen-Cherng. Metric Characterizations of α-Well-Posedness for a System ofMixed Quasivariational-Like Inequalities in Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-993093
American Medical Association (AMA)
Ceng, Lu-Chuan& Lin, Yen-Cherng. Metric Characterizations of α-Well-Posedness for a System ofMixed Quasivariational-Like Inequalities in Banach Spaces. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993093
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993093