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有限簇渐近伪压缩映象的黏性逼近

Viscosity approximation methods for finite family of asymptotically pseudo-contractive mappings
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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. 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.
作者 徐天华 耿道霞 赵晓东
机构地区 四川民族学院数学系
出处 《西南民族大学学报（自然科学版）》 CAS 2009年第4期711-715,共5页 Journal of Southwest Minzu University(Natural Science Edition)
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 uniformly L-Lipschitzian mapping asymptotically pseudo-contractive mapping normalized duality mapping fixed point
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献11

  • 1Chang, S. S., Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings [J], Proc. Amer. Math. Soc., 129(2000), 845-853.
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共引文献11

西南民族大学学报（自然科学版）
2009年 第4期

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