期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 415, 期 2, 页码 513-524出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2014.01.068
关键词
Split common fixed point problems; Split feasibility problem; Split variational inequality problem; Split null point problem
资金
- Thailand Research Fund
- Khon Kaen University under the TRF Research Career Development [RSA 5680002]
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. (C) 2014 Elsevier Inc. All rights reserved.
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