New iterative schemes for asymptotically quasi-nonexpansive nonself-mappings in Banach spaces |
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Authors: | Chao Wang Jinghao Zhu |
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Institution: | a Department of Applied Mathematics, Tongji University, Shanghai, 200092, PR China b College of Architecture and Urban Planning, Nanjing University of Technology, Nanjing, 210009, PR China |
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Abstract: | In this paper, a new two-step iterative scheme with errors is introduced for two asymptotically quasi-nonexpansive nonself-mappings. Several convergence theorems are established in real Banach spaces and real uniformly convex Banach spaces. Our theorems improve and extend the results due to Thianwan S. Thianwan, Common fixed point of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space, J. Comput. Appl. Math. 224 (2009) 685-695] and many other papers. |
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Keywords: | 47H09 47H10 46B20 |
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