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凸度量空间内压缩映象Ishikawa迭代的稳定性 被引量:1

STABILITY FOR THE ISHIKAWA ITERATION PROCEDURE OF CONTRACTIVE FUNCTION IN CONVEX METRIC SPACES
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摘要 在凸度量空间中讨论了一类非线性压缩映象不动点的Ishikawa迭代程序的稳定性 ,得到了一个新的稳定性定理 .改进和推广了Rhoades。 Author studies stability for the Ishikawa iteration procedure of contractive functions in convex metric spaces. And some new stability theorems are obtained, author's results generalize some main results of Rhoades,Osilike and Takahashi.
作者 田有先
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2001年第6期827-830,共4页 Journal of Sichuan University(Natural Science Edition)
关键词 凸度量空间 ISHIKAWA迭代程序 非线性压缩映象 T-稳定 不动点 稳定性定理 convex metric space Ishikawa iteration procedure nonlinear contractive mapping T-stable
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参考文献12

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同被引文献13

  • 1Schu J. Iterative constraction of fixed point of asymptotically nonexpanaive mappings[J]. J Math Anal Appl, 1991,158:407 - 413.
  • 2Xu H K. Inequalities in Banach spaces with applications[J]. Nonlinear Anal,1991,16:1127 - 1138.
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  • 4Osilike M O. Stability results for fixed point iteration procedures[J]. J Nigerian Math Soc,1995,14:17 - 29.
  • 5Osilike M O. A stable iteration procedure for quasi-contractive maps[J]. J Pure Appl Math, 1996,27:25 - 34.
  • 6Rhoades B E. Fixed point theorems and stability results for fixed point iteration procedures[J]. J Pure Alalal Math,1996,21:1- 9.
  • 7Phoades B E. Fixed point theorene and stability results for fixed point iteration procedures [J]. J Pure Appl Math,19-3,24:691 -703.
  • 8Zhou H Y. Stable iteration procedures for strong pseudo-contractions and nolinear equation involving accretive operators witho- Lipschitz assumption[J]. J Math Anal Appl, 1999,230:1- 10.
  • 9Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mapping[J]Proc: Amer Math Soc, 1972,35(1):171 - 174.
  • 10Huang Z Y. Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings[J]. Computers Math Appl, 1999,7:1 - 7.

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