Continuity Results and Error Bounds on Pseudomonotone Vector Variational Inequalities via Scalarization
Joint Authors
Chen, Chun-Rong
Zuo, Xin
Wei, Hong-Zhi
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Continuity (both lower and upper semicontinuities) results of the Pareto/efficient solution mapping for a parametric vector variational inequality with a polyhedral constraint set are established via scalarization approaches, within the framework of strict pseudomonotonicity assumptions.
As a direct application, the continuity of the solution mapping to a parametric weak Minty vector variational inequality is also discussed.
Furthermore, error bounds for the weak vector variational inequality in terms of two known regularized gap functions are also obtained, under strong pseudomonotonicity assumptions.
American Psychological Association (APA)
Zuo, Xin& Wei, Hong-Zhi& Chen, Chun-Rong. 2016. Continuity Results and Error Bounds on Pseudomonotone Vector Variational Inequalities via Scalarization. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108643
Modern Language Association (MLA)
Zuo, Xin…[et al.]. Continuity Results and Error Bounds on Pseudomonotone Vector Variational Inequalities via Scalarization. Journal of Function Spaces No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1108643
American Medical Association (AMA)
Zuo, Xin& Wei, Hong-Zhi& Chen, Chun-Rong. Continuity Results and Error Bounds on Pseudomonotone Vector Variational Inequalities via Scalarization. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108643
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108643