| Banach空间中一致L-李普西兹映射的强收敛问题(英文) |
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| 引用本文： | 李晓南.Banach空间中一致L-李普西兹映射的强收敛问题(英文)[J].苏州科技学院学报(自然科学版),2011,28(1):1-5. |
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| 作者姓名： | 李晓南 |
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| 作者单位： | 苏州科技学院数理学院,江苏,苏州,215009 |
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| 基金项目： | 苏州科技学院重点学科资助项目 |
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| 摘 要： | 给出了Banach空间中由一对L-李普西兹映射生成的点列强收敛的充分必要条件。文中通过削弱了Some results for uniformly L-Lipschitzian mappings in Banach spaces一文中相关的限制条件,从而改进了其原有结果。
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| 关 键 词： | 正规对偶映射 一致L-李普西兹映射 渐进半-伪压缩映射 强收敛 公共不动点 |
The strong convergence of uniformly L-Lipschitzian mappings in Banach space |
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| LI Xiaonan.The strong convergence of uniformly L-Lipschitzian mappings in Banach space[J].Journal of University of Science and Technology of Suzhou,2011,28(1):1-5. |
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| Authors: | LI Xiaonan |
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| Institution: | LI Xiaonan(School of Mathematics and Physics,SUST,Suzhou 215009,China) |
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| Abstract: | The sufficient conditions are given for the strong convergence of the sequence {xn} generated by a pair of uniformly L-Lipschitzian mappings in Banach space.By relaxing the restricted conditions in the paper Some results for uniformly L-Lipschitzian mappings in Banach spaces,this paper improves the original results of Chang and Cho for uniformly L-Lipschitzian mappings in Banach spaces. |
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| Keywords: | normalized duality mapping uniformly L-Lipschitzian mapping asymptotically hemi-pseudocontractive mapping strong convergence common fixed point |
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