A modified iterative algorithm for finding a common element in Hilbert space
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Authors
Zhichuan Zhu
- School of Statistics, Jilin University of Finance and Economics, Changchun, Jilin 130117, China.
- School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, China.
Yanchun Xing
- School of Statistics, Jilin University of Finance and Economics, Changchun, Jilin 130117, China.
- School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, China.
Weihua Duan
- Yatai School of Business Administration, Jilin University of Finance and Economics, Changchun, 130117, China.
Abstract
In this paper, a modified iterative algorithm for finding a common element of the solutions of a equilibrium problem, the
set of fixed points of nonexpansive mappings and the set of solutions of variational inequality problem is constructed in Hilbert
spaces, and the strong convergence of the generated iterative sequence to the common element is proved under some mild
conditions. The main result proposed in this paper extends and improves some recent results in the literature.
Share and Cite
ISRP Style
Zhichuan Zhu, Yanchun Xing, Weihua Duan, A modified iterative algorithm for finding a common element in Hilbert space, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 263--277
AMA Style
Zhu Zhichuan, Xing Yanchun, Duan Weihua, A modified iterative algorithm for finding a common element in Hilbert space. J. Nonlinear Sci. Appl. (2017); 10(1):263--277
Chicago/Turabian Style
Zhu, Zhichuan, Xing, Yanchun, Duan, Weihua. "A modified iterative algorithm for finding a common element in Hilbert space." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 263--277
Keywords
- Common element
- iterative algorithm
- Hilbert space
- strong convergence.
MSC
References
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