| 有限簇渐近伪压缩映象的黏性逼近 |
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| 引用本文： | 徐天华,耿道霞,赵晓东.有限簇渐近伪压缩映象的黏性逼近[J].西南民族学院学报(自然科学版),2009,35(4):711-715. |
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| 作者姓名： | 徐天华 耿道霞 赵晓东 |
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| 作者单位： | 四川民族学院数学系,四川康定,626001 |
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| 摘 要： | 在一实的Banach空间中，引入一修订的有限簇一致L-Lipschitzian渐近伪压缩映象T1，T2，…Tn的迭代序列，在去掉K有界的条件下，用黏性逼近法证明了迭代序列{xn}强收敛于T1，T2…，TN的公共不动点．本文结果推广和改进了一些文献的最新结果．
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| 关 键 词： | 黏性逼近 一致L—Lipschitzian映象 渐近伪压缩映象 正规对偶映象 不动点 |
Viscosity approximation methods for finite family of asymptotically pseudo-contractive mappings |
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| XU Tian-hua,GENG Dao-xia,ZHAO Xiao-dong.Viscosity approximation methods for finite family of asymptotically pseudo-contractive mappings[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(4):711-715. |
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| Authors: | XU Tian-hua GENG Dao-xia ZHAO Xiao-dong |
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| Institution: | (Department of Mathematics, Sichuan College for Nationalities, Kangding 626001, P.R.C.) |
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| Abstract: | The purpose of this paper is to introduce a new iterative scheme for a family of finite uniformly L-Lipschitzian and asymptotically pseudo-contractive mappings in a real Banaeh space. It is shown that under removal the boundedness condition imposed on K, by the viscosity approximation methods, the iteration scheme {xn} converges strongly to the common fixed point of this family of finite uniformly L-Lipschitzian asymptotically pseudo-contractive mappings T1, T2 TN. The results presented in the paper extend and improve some recent results. |
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| Keywords: | viscosity approximation uniformly L-Lipschitzian mapping asymptotically pseudo-contractive mapping normalized duality mapping fixed point |
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