East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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VISCOSITY APPROXIMATIONS FOR NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES

  • Received : 2009.01.02
  • Accepted : 2010.01.05
  • Published : 2010.05.31
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Abstract

Strong convergence theorem of the explicit viscosity iterative scheme involving the sunny nonexpansive retraction for nonexpansive nonself-mappings is established in a reflexive and strictly convex Banach spaces having a weakly sequentially continuous duality mapping. The main result improves the corresponding result of [19] to the more general class of mappings together with certain different control conditions.

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References

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