Convergence Theorem for Variational Inequality in Hilbert Spaces with Applications. (11th June 2018)
- Record Type:
- Journal Article
- Title:
- Convergence Theorem for Variational Inequality in Hilbert Spaces with Applications. (11th June 2018)
- Main Title:
- Convergence Theorem for Variational Inequality in Hilbert Spaces with Applications
- Authors:
- Yu, Zenn-Tsun
Chuang, Chih Sheng
Lin, Lai-Jiu - Abstract:
- ABSTRACT: In this paper, we study variational inequality over the set of the common fixed points of a countable family of quasi-nonexpansive mappings. To tackle this problem, we propose an algorithm and use it to prove a strong convergence theorem under suitable conditions. As applications, we study variational inequality over the solution set of different nonlinear or linear problems, like minimization problems, split feasibility problems, convexly pseudoinverse problems, convex linear inverse problems, etc.
- Is Part Of:
- Numerical functional analysis and optimization. Volume 39:Number 8(2018)
- Journal:
- Numerical functional analysis and optimization
- Issue:
- Volume 39:Number 8(2018)
- Issue Display:
- Volume 39, Issue 8 (2018)
- Year:
- 2018
- Volume:
- 39
- Issue:
- 8
- Issue Sort Value:
- 2018-0039-0008-0000
- Page Start:
- 865
- Page End:
- 893
- Publication Date:
- 2018-06-11
- Subjects:
- Linear inverse problem -- minimization problem -- split feasibility problem -- strongly monotone mapping -- variational inequality
47H09 -- 47J20 -- 49J30 -- 90C33
Functional analysis -- Periodicals
Numerical analysis -- Periodicals
Mathematical optimization -- Periodicals
Numerical Analysis, Computer-Assisted
515.705 - Journal URLs:
- http://www.tandfonline.com/toc/lnfa20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/01630563.2018.1424201 ↗
- Languages:
- English
- ISSNs:
- 0163-0563
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6184.692000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 6470.xml