Strong Convergence of CQ Algorithms for Split Feasibility Problems in the Hilbert Spaces

ZHAO Shilian

doi:10.21656/1000-0887.390012

Volume 40 Issue 1

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ZHAO Shilian. Strong Convergence of CQ Algorithms for Split Feasibility Problems in the Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2019, 40(1): 108-114. doi: 10.21656/1000-0887.390012

Citation:

ZHAO Shilian. Strong Convergence of CQ Algorithms for Split Feasibility Problems in the Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2019, 40(1): 108-114. doi: 10.21656/1000-0887.390012

Citation:

ZHAO Shilian. Strong Convergence of CQ Algorithms for Split Feasibility Problems in the Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2019, 40(1): 108-114. doi: 10.21656/1000-0887.390012

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Strong Convergence of CQ Algorithms for Split Feasibility Problems in the Hilbert Spaces

doi: 10.21656/1000-0887.390012

ZHAO Shilian

School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, P.R.China

Funds: The National Natural Science Foundation of China（11371015）

Received Date: 2018-01-08
Rev Recd Date: 2018-03-26
Publish Date: 2019-01-01

Abstract

Abstract

To study the strong convergence of split feasibility problems, a new CQ algorithm was proposed in the Hilbert spaces. Firstly, the modified Halpern iterative sequence was obtained with the CQ method. Furthermore, the split feasibility problem was transformed into the fixed point for operators, and it was proved that the sequence converges strongly to a solution of the split feasibility problem under some weak conditions. The findings generalize the corresponding results of Wang and Xu.
- split feasibility problem,
- strong convergence,
- CQ method,
- modified Halpern iteration

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References(15)

References

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