Auxiliary Principle for a System of Generalized Set-Valued Nonlinear Mixed Variational-Like Inequalities in Banach Spaces
Joint Authors
Qiu, Yangqing
Zhan, Xiaolin
Ceng, Lu-Chuan
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, the auxiliary principle technique is extended to study a system of generalized nonlinear mixed variational-like inequalities problem for set-valued mappings without compact values in Banach spaces with p-uniformly convex bidual spaces.
First, the existence of the solutions of the related auxiliary problem is proved.
Then, a new iterative algorithm based on the system of auxiliary variational inequalities is constructed.
Finally, both the existence of the solutions of the original problem and the convergence of the iterative sequences generated by the algorithm are proved.
And we also present a numerical example to demonstrate the result.
Our results improve and extend some known results.
American Psychological Association (APA)
Qiu, Yangqing& Zhan, Xiaolin& Ceng, Lu-Chuan. 2019. Auxiliary Principle for a System of Generalized Set-Valued Nonlinear Mixed Variational-Like Inequalities in Banach Spaces. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1174784
Modern Language Association (MLA)
Qiu, Yangqing…[et al.]. Auxiliary Principle for a System of Generalized Set-Valued Nonlinear Mixed Variational-Like Inequalities in Banach Spaces. Journal of Function Spaces No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1174784
American Medical Association (AMA)
Qiu, Yangqing& Zhan, Xiaolin& Ceng, Lu-Chuan. Auxiliary Principle for a System of Generalized Set-Valued Nonlinear Mixed Variational-Like Inequalities in Banach Spaces. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1174784
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174784