Acta mathematica scientia,Series B ›› 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

 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).

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

CLC Number: 

  • 47H09
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