A modified iterative algorithm for finding a common element in Hilbert space


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

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References