Iterative algorithms for finding minimum‐norm fixed point of nonexpansive mappings and applications |
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| Authors: | Yuchao Tang Liwei Liu |
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| Affiliation: | 1. Department of Mathematics, NanChang University, , Nanchang, 330031 China;2. Department of Mathematics, Xi'an Jiaotong University, , Xi'an, 710049 China |
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| Abstract: | This paper deals with the problem of finding minimum‐norm fixed point of nonexpansive mappings. We present two types of iteration methods (one is implicit, and the other is explicit). We establish strong convergence theorems for both methods. Some applications are given regarding convex optimization problems and split feasibility problems. These results improve some known results existing in the literatures. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | Nonexpansive mappings minimum‐norm convex optimization split feasibility problem |
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