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Iterative construction of fixed points of nonself-mappings in Banach spaces |
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| Authors: | Lu-Chuan Zeng Tamaki Tanaka Jen-Chih Yao |
| Affiliation: | 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;2. Department of Mathematical Science, Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan;3. Department of Applied Mathematics, National Sun Yat-sen University, 804 Kaohsiung, Taiwan |
| Abstract: | The purpose of this paper is to study the iterative methods for constructing fixed points of nonself-mappings in Banach spaces. The concept of the class of asymptotically QG-weakly contractive nonself-mappings is introduced and a new iterative algorithm for finding fixed points of this class of mappings is studied. Several strong convergence results on this algorithm are established under different conditions. |
| Keywords: | 47H06 47H09 7H10 47H14 49M25 |
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