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author:

游贤焕 (游贤焕.) [1] | 万丙晟 (万丙晟.) [2] | 黄建华 (黄建华.) [3] | 傅湧 (傅湧.) [4]

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Abstract:

设E是一实的P-一致光滑的Banach空间(1〈P≤2),D是E的非空闭凸子集而且是E的非扩张收缩核.设T:D→E是具有序列{kn}包含[1,∞),limn→∞kn=1的非自渐近非扩张映象,P:E→D是-非扩张保核收缩.本文证明了在一定条件下,由修正的Reich-Takahashi迭代法(1)和(2)式定义的迭代序列{xn}强收敛于非自渐近非扩张映象T的不动点.

Keyword:

P-一致光滑 Reich-Takahashi型迭代法 不动点 非自渐近非扩张映象

Community:

  • [ 1 ] 福建对外经济贸易职业技术学院,福建福州350002
  • [ 2 ] 福州大学数学与计算机科学学院,福建福州350002
  • [ 3 ] 江西宜春学院数学与计算机科学学院,江西宜春336000

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Source :

福州大学学报:自然科学版

ISSN: 1000-2243

CN: 35-1337/N

Year: 2009

Issue: 2

Volume: 37

Page: 162-165

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count: -1

30 Days PV: 0

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