On split common fixed point problems |
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Authors: | Rapeepan Kraikaew Satit Saejung |
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Affiliation: | Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand |
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Abstract: | Based on the convergence theorem recently proved by the second author, we modify the iterative scheme studied by Moudafi for quasi-nonexpansive operators to obtain strong convergence to a solution of the split common fixed point problem. It is noted that Moudafi's original scheme can conclude only weak convergence. As a consequence, we obtain strong convergence theorems for split variational inequality problems for Lipschitz continuous and monotone operators, split common null point problems for maximal monotone operators, and Moudafi's split feasibility problem. |
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Keywords: | Split common fixed point problems Split feasibility problem Split variational inequality problem Split null point problem |
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