Strong Convergence Theorems for Nonexpansive Semigroups and Variational Inequalities in Banach Spaces
Joint Authors
Zhang, Hong
Su, Yongfu
Wang, Haiqing
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-22
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Let X be a uniformly convex Banach space and ?={T(s):0≤s<∞} be a nonexpansive semigroup such that F(?)=⋂s>0F(T(s))≠∅.
Consider the iterative method that generates the sequence {xn} by the algorithm xn+1=αnf(xn)+βnxn+(1-αn-βn)(1/sn)∫0snT(s)xnds,n≥0, where {αn}, {βn}, and {sn} are three sequences satisfying certain conditions, f:C→C is a contraction mapping.
Strong convergence of the algorithm {xn} is proved assuming X either has a weakly continuous duality map or has a uniformly Gâteaux differentiable norm.
American Psychological Association (APA)
Wang, Haiqing& Su, Yongfu& Zhang, Hong. 2012. Strong Convergence Theorems for Nonexpansive Semigroups and Variational Inequalities in Banach Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028956
Modern Language Association (MLA)
Wang, Haiqing…[et al.]. Strong Convergence Theorems for Nonexpansive Semigroups and Variational Inequalities in Banach Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-1028956
American Medical Association (AMA)
Wang, Haiqing& Su, Yongfu& Zhang, Hong. Strong Convergence Theorems for Nonexpansive Semigroups and Variational Inequalities in Banach Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1028956
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028956