Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space
Joint Authors
Jiantao, Cao
Yali, Wang
Yinying, Zhou
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce a hybrid iterative scheme for finding a common element of the set of common fixed points for a family of infinitely nonexpansive mappings, the set of solutions of the varitional inequality problem and the equilibrium problem in Hilbert space.
Under suitable conditions, some strong convergence theorems are obtained.
Our results improve and extend the corresponding results in (Chang et al.
(2009), Min and Chang (2012), Plubtieng and Punpaeng (2007), S.
Takahashi and W.
Takahashi (2007), Tada and Takahashi (2007), Gang and Changsong (2009), Ying (2013), Y.
Yao and J.
C.
Yao (2007), and Yong-Cho and Kang (2012)).
American Psychological Association (APA)
Yinying, Zhou& Jiantao, Cao& Yali, Wang. 2014. Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-455902
Modern Language Association (MLA)
Yinying, Zhou…[et al.]. Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-455902
American Medical Association (AMA)
Yinying, Zhou& Jiantao, Cao& Yali, Wang. Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-455902
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455902