Convergence of a general iterative method for nonexpansive mappings in Hilbert spaces |
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| Authors: | Yeol Je Cho Xiaolong Qin |
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| Affiliation: | 1. Department of Mathematics Educational and RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea;2. Department of Mathematics, Gyeongsang National University, Chinju 660-701, Republic of Korea |
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| Abstract: | In this paper, we introduce a modified Ishikawa iterative process for approximating a fixed point of nonexpansive mappings in Hilbert spaces. We establish some strong convergence theorems of the general iteration scheme under some mild conditions. The results improve and extend the corresponding results of many others. |
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| Keywords: | 47H09 47H10 |
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