Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces
Joint Authors
Kimura, Yasunori
Nakajo, Kazuhide
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
We assume some properties for the operators and get strong convergence to a common solution to the variational inequality problem by the hybrid method proposed by Haugazeau.
Using these results, we obtain several results for the variational inequality problem and the proximal point algorithm.
American Psychological Association (APA)
Kimura, Yasunori& Nakajo, Kazuhide. 2014. Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-464573
Modern Language Association (MLA)
Kimura, Yasunori& Nakajo, Kazuhide. Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-464573
American Medical Association (AMA)
Kimura, Yasunori& Nakajo, Kazuhide. Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-464573
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464573