| CONVERGENCE OF ISHIKAWA TYPE ITERATIVE SEQUENCE WITH ERRORS FOR QUASI-CONTRACTIVE MAPPINGS IN CONVEX METRIC SPACES |
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| 作者姓名： | 田有先 张石生 |
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| 作者单位： | Institute of Computer Science & Technology，Chongqing University of Posts and Telecommunications，Chongqing 400065，P R China，Department of Mathematics，Sichuan University，Chengdu 610064，P R China |
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| 基金项目： | Foundation items:the National Ntural Science Foundation of China(19771058)，the Natural Science Foundation of Education Department of Sichuan Province(01LA70) |
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| 摘 要： | Some convergence theorems of Ishikawa type iterative sequence with errors for nonlinear general quasi- contractive mapping in convex metric spaces are proved. The results not only extend and improve the corresponding results of L . B . Ciric , Q . H. Liu , H. E. Rhoades and H. K. Xu , et al. , but also give an affirmative answer to the open question of Rhoades-Naimpally-Singh in convex metric spaces .
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| 收稿时间： | 3 April 2001 |
Convergence of Ishikawa type iterative sequence with errors for quasi-contractive mappings in convex metric spaces |
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| Tian You-xian Professor,Zhang Shi-sheng.CONVERGENCE OF ISHIKAWA TYPE ITERATIVE SEQUENCE WITH ERRORS FOR QUASI-CONTRACTIVE MAPPINGS IN CONVEX METRIC SPACES[J].Applied Mathematics and Mechanics(English Edition),2002,23(9):1001-1008. |
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| Authors: | Tian You-xian Professor Zhang Shi-sheng |
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| Institution: | 1. Institute of Computer Science & Technology, Chongqing University of Posts and Telecommunications, Chongqing,400065, P R China
2. Department of Mathematics, Sichuan University, Chengdu,610064, P R China |
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| Abstract: | Some convergence theorems of Ishikawa type iterative sequence with errors for nonlinear general quasi- contractive mapping in convex metric spaces are proved. The results not only extend and improve the corresponding results of L . B . Ciric , Q . H. Liu , H. E. Rhoades and H. K. Xu , et al. , but also give an affirmative answer to the open question of Rhoades-Naimpally-Singh in convex metric spaces . |
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| Keywords: | convex metric space fixed point generalized Ishikawa (Mann) iterative sequence with errors general quasi-contractive mapping |
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