New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces
Joint Authors
Chen, Minjiang
Song, Jianmin
Wang, Shenghua
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We first introduce a new mixed equilibrium problem with a relaxed monotone mapping in Banach spaces and prove the existence of solutions of the equilibrium problem.
Then we introduce a new iterative algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of fixed points of a quasi-ϕ-nonexpansive mapping and prove some strong convergence theorems of the iteration.
Our results extend and improve the corresponding ones given by Wang et al., Takahashi and Zembayashi, and some others.
American Psychological Association (APA)
Chen, Minjiang& Song, Jianmin& Wang, Shenghua. 2014. New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-453449
Modern Language Association (MLA)
Chen, Minjiang…[et al.]. New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-453449
American Medical Association (AMA)
Chen, Minjiang& Song, Jianmin& Wang, Shenghua. New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-453449
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453449