Composite Iterative Algorithms for Variational Inequality and Fixed Point Problems in Real Smooth and Uniformly Convex Banach Spaces
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-15
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We introduce composite implicit and explicit iterative algorithms for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a real smooth and uniformly convex Banach space.
These composite iterative algorithms are based on Korpelevich's extragradient method and viscosity approximation method.
We first consider and analyze a composite implicit iterative algorithm in the setting of uniformly convex and 2-uniformly smooth Banach space and then another composite explicit iterative algorithm in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm.
Under suitable assumptions, we derive some strong convergence theorems.
The results presented in this paper improve, extend, supplement, and develop the corresponding results announced in the earlier and very recent literatures.
American Psychological Association (APA)
Ceng, Lu-Chuan& Wen, Ching-Feng. 2013. Composite Iterative Algorithms for Variational Inequality and Fixed Point Problems in Real Smooth and Uniformly Convex Banach Spaces. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-496739
Modern Language Association (MLA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Composite Iterative Algorithms for Variational Inequality and Fixed Point Problems in Real Smooth and Uniformly Convex Banach Spaces. Journal of Applied Mathematics No. 2013 (2013), pp.1-21.
https://search.emarefa.net/detail/BIM-496739
American Medical Association (AMA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Composite Iterative Algorithms for Variational Inequality and Fixed Point Problems in Real Smooth and Uniformly Convex Banach Spaces. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-496739
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496739