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
Citation: 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

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

doi: 10.21656/1000-0887.380106
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
  • 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.
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