Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Strong Convergence of Modified Iteration Processes for Relatively Nonexpansive Mappings

  • Kim, Tae-Hwa (Division of Mathematical Sciences, Pukyong National University) ;
  • Lee, Hwa-Jung (Division of Mathematical Sciences, Pukyong National University)
  • Received : 2007.05.30
  • Published : 2008.12.31
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Abstract

Motivated and inspired by ideas due to Matsushida and Takahashi [J. Approx. Theory 134(2005), 257-266] and Martinez-Yanes and Xu [Nonlinear Anal. 64(2006), 2400-2411], we prove some strong convergence theorems of modified iteration processes for a pair (or finite family) of relatively nonexpansive mappings in Banach spaces, which improve and extend the corresponding results of Matsushida and Takahashi and Martinez-Yanes and Xu in Banach and Hilbert spaces, repectively.

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References

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