Generalized Projection Algorithms for Nonlinear Operators |
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| Authors: | Ravi P Agarwal Xiaolong Qin |
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| Institution: | 1. Department of Mathematics Science , Florida Institute of Technology , Melbourne, Florida, USA agarwal@fit.edu;3. Department of Mathematics , Gyeongsang National University , Chinju, Korea |
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| Abstract: | In this paper, we prove three strong convergence theorems of modified Mann iteration for relatively asymptotically nonexpansive mappings, relatively nonexpansive mappings, and maximal monotone operators in a Banach space, respectively. Our results extend and improve the recent ones announced by Nakajo, Takahashi, Matsushita, Kim, Martinez-Yanex, Xu, and some others. |
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| Keywords: | Asymptotic fixed point Generalized projection Maximal monotone operator Relatively asymptotically nonexpansive mapping Relatively nonexpansive mapping |
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