Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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BROWDER'S TYPE STRONG CONVERGENCE THEOREM FOR S-NONEXPANSIVE MAPPINGS

  • Kim, Jong-Kyu (Department of Mathematics Educations Kyungnam University) ;
  • Sahu, Daya Ram (Department of Mathematics Banaras Hindu University) ;
  • Anwar, Sajid (Anjuman College of Engineering and Technology Mangalwari Bazar Road)
  • Received : 2008.10.16
  • Published : 2010.05.31

Abstract

We prove a common fixed point theorem for S-contraction mappings without continuity. Using this result we obtain an approximating curve for S-nonexpansive mappings in a Banach space and prove Browder's type strong convergence theorem for this approximating curve. The demiclosedness principle for S-nonexpansive mappings is also established.

Keywords

demicontinuity;R-weakly commutativity;S-contraction mapping;S-nonexpansive mapping

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References

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Cited by

  1. Some Existence and Convergence Theorems for Nonexpansive Type Mappings vol.2013, 2013, https://doi.org/10.1155/2013/539723