Feasible iterative algorithms and strong convergence theorems for bi-level fixed point problems
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Authors
Shih-Sen Chang
- Center for General Education, China Medical University, Taichung, 40402, Taiwan.
Jing Quan
- Department of Mathematics, Yibin University, Yibin, Sichuan, 644007, China.
Jingai Liu
- Department of Mathematics and Physics, Beijing Institute of Petro-Chemical Technology, Beijing, 102617, China.
Abstract
The purpose of this paper is to introduce and study the bi-level split fixed point problems in the setting
of infinite-dimensional Hilbert spaces. For solving this kind problems, some new simultaneous iterative
algorithms are proposed. Under suitable conditions, some strong convergence theorems for the sequences
generated by the proposed algorithm are proved. As applications, we shall utilize the results presented in
the paper to study bi-level split equilibrium problem, bi-level split optimization problems and the bi-level
split variational inequality problems. The results presented in the paper are new which also extend and
improve many recent results.
Share and Cite
ISRP Style
Shih-Sen Chang, Jing Quan, Jingai Liu, Feasible iterative algorithms and strong convergence theorems for bi-level fixed point problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1515--1528
AMA Style
Chang Shih-Sen, Quan Jing, Liu Jingai, Feasible iterative algorithms and strong convergence theorems for bi-level fixed point problems. J. Nonlinear Sci. Appl. (2016); 9(4):1515--1528
Chicago/Turabian Style
Chang, Shih-Sen, Quan, Jing, Liu, Jingai. "Feasible iterative algorithms and strong convergence theorems for bi-level fixed point problems." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1515--1528
Keywords
- Bi-level split fixed point problem
- bi-level split equilibrium problem
- bi-evel split optimization problem
- bi-level split variational inequality problem
- split feasibility problem.
MSC
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