Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings |
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| Authors: | Lu-Chuan Zeng Jen-Chih Yao |
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| Affiliation: | 1. Department of Mathematics, Shanghai Normal University, Shanghai, China;2. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan |
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| Abstract: | In this paper we propose a new implicit iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings. We establish some convergence theorems for this implicit iteration scheme. In particular, necessary and sufficient conditions for strong convergence of this implicit iteration scheme were obtained. |
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| Keywords: | 47H09 47H10 47H17 |
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