| 渐近拟―非扩张映射的分裂公共不动点问题 |
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| 引用本文： | 谢芳.渐近拟―非扩张映射的分裂公共不动点问题[J].昆明师范高等专科学校学报,2012(3):46-50. |
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| 作者姓名： | 谢芳 |
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| 作者单位： | 昆明学院数学系,云南昆明650214 |
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| 摘 要： | 设H1,H2是两个实的希尔伯特空间,S：H1→H1和T：H2→H2是两个渐近拟―非扩张映射,在一定条件下,证明了由（5）式定义的迭代序列弱收敛于它们的分裂公共不动点.得到的结果推广和改进了Moudafi（文献6]）的主要结果.
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| 关 键 词： | 分裂公共不动点问题 拟―非扩张映射 渐近拟―非扩张映射 半闭 |
The Split Common Fixed-Point Problem for Asymptotically Quasi-Nonexpansive Mapping |
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| XIE Fang.The Split Common Fixed-Point Problem for Asymptotically Quasi-Nonexpansive Mapping[J].Journal of Kunming Teachers College,2012(3):46-50. |
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| Authors: | XIE Fang |
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| Institution: | XIE Fang ( Department of Mathematics, Kunming University, Yunnan Kunming 650214, China) |
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| Abstract: | Hypothesis H1,H2 are two real Hilbert space,S：H1→H1 and T：H2→H2 are two asymptotically quasi-nonexpansive mappings.Under certain conditions,we demonstrated that iterative process by（5） weakly converges to split common fixed-point of S and T.The result presented in the paper improve and extend some recent results of Moudafi（references6]）. |
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| Keywords: | split common fixed point problem quasi-nonexpansive mapping asymptotically quasi-nonexpansive mapping demicloseness |
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