Modified Halpern Iteration and Viscosity Approximation Methods for Split Feasibility Problems in Hilbert Spaces

YANG Li; LI Jun

doi:10.21656/1000-0887.380106

Volume 38 Issue 9

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YANG Li, LI Jun. Modified Halpern Iteration and Viscosity Approximation Methods for Split Feasibility Problems in Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2017, 38(9): 1072-1080. doi: 10.21656/1000-0887.380106

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Modified Halpern Iteration and Viscosity Approximation Methods for Split Feasibility Problems in Hilbert Spaces

doi: 10.21656/1000-0887.380106

YANG Li,
LI Jun

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: 2017-04-20
Rev Recd Date: 2017-06-14
Publish Date: 2017-09-15

Abstract

Abstract

In infinitedimensional Hilbert spaces, the modified Halpern iteration and viscosity approximation methods for solving the split feasibility problems (SFPs) were proposed. When the parameters satisfy certain conditions, it is proved that the sequences generated with the proposed algorithms converge strongly to a solution to the split feasibility problem. The main findings improve and extend some recent results by Deepho and Kumam.
- split feasibility problem,
- modified Halpern iteration and viscosity approximation method,
- strong convergence,
- Hilbert space

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References(15)

References

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