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有限个渐近伪压缩映射近迫点序列的收敛性 被引量:2

Approximate Fixed Point Sequences for a Finite Family of Asymptotically Pseudocontractive Maps
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摘要 研究了Banach空间中有限个渐近伪压缩映射近迫点序列的收敛性问题,此结果推广了以前的结论. In this article, we study the iterative approximation problem of fixed point for a finite family of asymptotically pseudocontractive mappings. The work in this paper is an extension and complement of the previous work.
出处 《数学的实践与认识》 CSCD 北大核心 2010年第3期146-150,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金(10771049 10771050) 河北省教育科学研究"十一五"规划课题(O8020147) 河北师范大学基金(L2007Q05)
关键词 渐近伪压缩映射 一致渐近正则映射 近迫点序列 asymptotically pseudocontractive mapping uniformly asymptotically regular mapping approximate fixed point sequences
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参考文献5

  • 1Chidume C E and Zegeye H. Approximate fixed point sequences and convergence theorems for asymptotically pseudocontractive maps[J]. J Math Anal Appl, 2003, 278: 354-366.
  • 2Kato T. Nonlinear semigroups and evolution equations[J]. J Math Soc Japan, 1967, 19: 508-520.
  • 3Morales C H and Jung J S. Convergence of paths for pseudocontractive mapping in Banach spaces[J]. Proc Amer Math Soc, 2000, 128: 3411-3419. 2001: 47090.
  • 4Moore C and Nnoli B V C. Iterative solution of nonlinear equations involving set-valued finiformly accretive operators[J]. Comput Math Appl, 2001, 42: 131-140. 2002, 47145.
  • 5Reich S. Iterative methods for accretive sets, in: Nonlinear Equations in Abstract Spaces[M]. Academic Press, New York, 1978, (2): 317-326.

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