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多值Φ-强伪压缩映象不动点和多值Φ-强增生映象方程解的Ishikawa迭代逼近 被引量：8

Ishikawa Iterative Approximations of Fixed Points and Solutions for Multivalued φ- Strongly Accretive and Multivalued φ- Strongly Pseudo-Contractive Mappings
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摘要 在一般的Banach空间中,研究了多值φ-强伪压缩映象不动点和多值φ-强增生映象方程解的Ishikawa迭代逼近问题. In this paper, we study Ishikawa iterative approximation problem of fixed points and solutions for multi-valued φ-strongly accretive and multi-valued φ-strongly pseudo-contractive mappings in general Banach space.
作者 张石生 谷峰
机构地区 云南师范大学数学系 齐齐哈尔大学数学系
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2002年第3期447-454,共8页 数学研究与评论（英文版）
基金 国家自然科学基金资助项目(19971058) 黑龙江省教育厅科研项目(10511132
关键词 多值Φ-强伪压缩映象 不动点 解 ISHIKAWA迭代逼近 Multi-valued θ-strongly pesudo-contractive mapping Multi-valued θ-strongly accretive mapping Ishikawa iterative sequence with errors Mann iterative se-quence with errors.
分类号 O177.91 [理学—基础数学]
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参考文献13

  • 1CHIDUME C E. Approximation of fixed points of strongly pseudo-contractive mappings [J]. Proc. Amer. Math. Soc., 1994, 120: 545-551.
  • 2CHANG S S. CHO Y J, LEE B S. et al. Iterative approximations of fixed points and solutions for strongly accretive and atrongly pseudo-contractive mappings in Banach spaces [J]. J. Math. Anal. Appl., 1998, 224: 149-165.
  • 3CHIDUME C E. Iterative solution of nonlinear equations with strongly accretive operations [J]. J. Math. Anal. Appl., 1995, 192: 502-518.
  • 4DENG L. On Chidume's open questions [J]. J. Math. Anal. Appl., 1991, 174: 441-449.
  • 5DENG L, DING X P. Itesative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces [J]. Nonlinear Anal. T.M.A., 1995, 24: 981-987.
  • 6TAN K K, XU H K. Iterative solution to nonlinear equations and strongly accretive operators in Banach spaces [J]. J. Math. Anal. Appl., 1993, 178: 9-21.
  • 7CHIDUME C E. Iterative approximation of fixed points of Lipschitz strongly pseudo-contractive mappings [J]. Proc. Amer. Math. Soc., 1987, 99: 283-288.
  • 8DENG L. An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces [J]. Acta Appl. Math., 1993, 32: 183-196.
  • 9ZHOU H Y. Some convergence theorems for the Ishikawa iteration sequences of certain nonlinear operators in uniformly smooth Banach spaces [J]. Acta. Math. Sinica, 1997, 40: 751-758.
  • 10OSILIKE M O. Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type [J]. J. Math. Anal. Appl., 1997, 213: 91-105.

同被引文献31

  • 1张树义.Φ-伪压缩映象带混合型误差的迭代序列的强稳定性[J].数学的实践与认识,2005,35(3):180-186. 被引量：6
  • 2张勇.一类广义集值φ-强增生型变分包含问题解的存在性与迭代逼近[J].四川师范大学学报（自然科学版）,2006,29(6):688-691. 被引量：1
  • 3CHANG S S.Some problems and results in the study of nonlinear analysis[J].Nonlinear Anal.TMA,1997,30(7):4197-4208.
  • 4RAN Kai,HUI Cun-yang,ZHAO Feng-qun.Ishikawa iterative approximation of fixed points for multi-valued -strongly pseudo-contract mappings[J].Journal Yanan Univeisity,2007,26(2):22-25.
  • 5ZHOU H Y.Some convergence theorems for Ishikawa iteration sequences of certain nonlinear operators in uniformly smooth Banach spaces[J].Acta Appl.Math.,1993,32:183-196.
  • 6CHANG S S. Some problems and results in the study of nonlinear analysis[ J]. Nonlinear Anal. TMA, 1997,30(7) :4197 - 4208.
  • 7ZHOU H Y. Some convergence theorems for Ishikawa iteration sequences of certain nonlinear operators in uniformly smooth Banach spaces[ J]. Acta Appl. Math. , 1989, 32 : 183 - 196.
  • 8CHANG S S. On Chidumes open question and approximate salution of multived strongly accretive mapping equations in Banachspaces[J]. J. Math. Anal. Appl.,1997,216:94-111.
  • 9DEND L, DING X P. Iterative approximations of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces [ J ]. Nonlinear Anal. TMA, 1995, 24:981 - 987.
  • 10NADLER S B. Jr. Multivalued contraction mapping[J]. Pacific J. Math. , 1969,30:475 -488.

引证文献8

二级引证文献7

Journal of Mathematical Research and Exposition
2002年 第3期

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