WEAK CONVERGENCE OF A SPLITTING ALGORITHM IN HILBERT SPACES

Sun Young Cho; B. A. Bin Dehaish; Xiaolong Qin

doi:10.11948/2017027

2017 Volume 7 Issue 2

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Sun Young Cho, B. A. Bin Dehaish, Xiaolong Qin. WEAK CONVERGENCE OF A SPLITTING ALGORITHM IN HILBERT SPACES[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 427-438. doi: 10.11948/2017027

Citation:

Sun Young Cho, B. A. Bin Dehaish, Xiaolong Qin. WEAK CONVERGENCE OF A SPLITTING ALGORITHM IN HILBERT SPACES[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 427-438. doi: 10.11948/2017027

WEAK CONVERGENCE OF A SPLITTING ALGORITHM IN HILBERT SPACES

1 Department of Mathematics, Gyeongsang National University, Jinju, Korea;
2 Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia;
3 Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Sichuan, China

Fund Project:

Abstract

Abstract

In this paper, we present a splitting algorithm with computational errors for solving common solutions of zero point, fixed point and equilibrium problems. Weak convergence theorems of common solutions are established in the framework of real Hilbert spaces.
- Equilibrium problem /
- splitting algorithm /
- nonexpansive mapping /
- variational inequality /
- zero point
MSC: 47H05;90C33

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References

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