East Asian mathematical journal

  • 제27권1호
  • /
  • Pages.11-21
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  • 2011
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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VISCOSITY METHODS OF APPROXIMATION FOR A COMMON SOLUTION OF A FINITE FAMILY OF ACCRETIVE OPERATORS

  • Chen, Jun-Min (College of Mathematics and Computer Hebei University) ;
  • Zhang, Li-Juan (College of Mathematics and Computer Hebei University) ;
  • Fan, Tie-Gang (College of Mathematics and Computer Hebei University)
  • 투고 : 2010.01.31
  • 심사 : 2011.01.03
  • 발행 : 2011.01.31
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초록

In this paper, we try to extend the viscosity approximation technique to find a particular common zero of a finite family of accretive mappings in a Banach space which is strictly convex reflexive and has a weakly sequentially continuous duality mapping. The explicit viscosity approximation scheme is proposed and its strong convergence to a solution of a variational inequality is proved.

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참고문헌

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