| 两族非自映射的不动点收敛定理 |
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| 引用本文： | 宋传静,吴健荣.两族非自映射的不动点收敛定理[J].扬州大学学报(自然科学版),2012,15(2):9-13. |
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| 作者姓名： | 宋传静 吴健荣 |
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| 作者单位： | 苏州科技学院数理学院,江苏苏州,215011 |
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| 基金项目： | 江苏省高校研究生培养创新工程资助项目，苏州科技学院研究生科研创新计划项目 |
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| 摘 要： | 研究一致凸Banach空间中两映射族的公共不动点逼近问题.构造关于非扩张非自映射族和渐近非扩张非自映射族的有限步迭代序列,并在适当条件下证明该序列收敛到公共不动点的一些强弱收敛定理,改进和推广了一些相关文献的结果.
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| 关 键 词： | 一致凸Banach空间 非扩张非自映射 渐近非扩张非自映射 有限步迭代序列 公共不动点 |
Convergence theorems for two finite families of nonself-mappings |
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| SONG Chuan-jing
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WU Jian-rong.Convergence theorems for two finite families of nonself-mappings[J].Journal of Yangzhou University(Natural Science Edition),2012,15(2):9-13. |
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| Authors: | SONG Chuan-jing WU Jian-rong |
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| Institution: | (Sch of Math & Phys,Suzhou Univ of Sci & Technol,Suzhou 215011,China) |
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| Abstract: | In this paper,the common fixed points of two finite families of mappings are studied in real uniformly convex Banach spaces.A finite-step iteration process defined by a finite family of nonexpansive nonself-mappings and a finite family of asymptotically nonexpansive nonself-mappings is introduced,and the strong and weak convergence theorems for this scheme are proved.The results presented in this paper have improved and extended some recent relative results. |
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| Keywords: | uniformly convex Banach space nonexpansive nonself-mapping asymptotically nonexpansive nonself-mapping finite-step iteration process common fixed point |
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