Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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CONVERGENCE OF AN IMPLICIT ITERATIVE PROCESS FOR TWO FINITE FAMILIES OF NONEXPANSIVE MAPPINGS

  • Cho, S.Y. (Department of Mathematics Gyeongsang National University) ;
  • Kang, S.M. (Department of Mathematics and RINS Gyeongsang National University) ;
  • Qin, X. (Department of Mathematics Hangzhou Normal University) ;
  • Kwun, Y.C. (Department of Mathematics Dong-A University)
  • Received : 2010.05.18
  • Accepted : 2010.08.19
  • Published : 2010.09.30
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Abstract

Convergence of an implicit iterative process is investigated for nonexpansive mappings. Strong and weak convergence theorems of common fixed points of two finite families of nonexpansive mappings are established in the framework of Banach spaces.

Keywords

Acknowledgement

Supported by : Dong-A University

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