数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (5): 2058-2066.doi: 10.1016/S0252-9602(11)60381-0

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NECESSARY AND SUFFICIENT CONDITION OF THE STRONG CONVERGENCE FOR TWO FINITE FAMILIES OF UNIFORMLY#br# L-LIPSCHITZIAN MAPPINGS

谷峰   

  1. Institute of Applied Mathematics and Department of Mathematics Hangzhou Teacher’s College, Hangzhou 310012, China
  • 收稿日期:2009-09-07 出版日期:2011-09-20 发布日期:2011-09-20
  • 基金资助:

    The present studies were supported by the National Natural Science Foun-dation of China (11071169), the Natural Science Foundation of Zhejiang Province (Y6110287).

NECESSARY AND SUFFICIENT CONDITION OF THE STRONG CONVERGENCE FOR TWO FINITE FAMILIES OF UNIFORMLY#br# L-LIPSCHITZIAN MAPPINGS

 GU Feng   

  1. Institute of Applied Mathematics and Department of Mathematics Hangzhou Teacher’s College, Hangzhou 310012, China
  • Received:2009-09-07 Online:2011-09-20 Published:2011-09-20
  • Supported by:

    The present studies were supported by the National Natural Science Foun-dation of China (11071169), the Natural Science Foundation of Zhejiang Province (Y6110287).

摘要:

The purpose of this paper is to study necessary and sufficient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in this paper
improve and extend the recent ones announced by [2–7].

关键词: asymptotically pseudo-contractive mapping, uniformly L-Lipschitzian map-ping, parallel iterative algorithm

Abstract:

The purpose of this paper is to study necessary and sufficient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in this paper
improve and extend the recent ones announced by [2–7].

Key words: asymptotically pseudo-contractive mapping, uniformly L-Lipschitzian map-ping, parallel iterative algorithm

中图分类号: 

  • 47H09