East Asian mathematical journal

  • 제27권1호
  • /
  • Pages.1-9
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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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STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY MONOTONE MAPPINGS

  • He, Xin-Feng (College of Mathematics and Computer Hebei University) ;
  • Xu, Yong-Chun (Department of Mathematics Hebei North College) ;
  • He, Zhen (College of Mathematics and Computer Hebei University)
  • 투고 : 2010.01.13
  • 심사 : 2011.01.03
  • 발행 : 2011.01.31
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초록

In this paper, we consider an iterative scheme for finding a common element of the set of fixed points of a asymptotically quasi nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. Then we show that the sequence converges strongly to a common element of two sets. Using this result, we consider the problem of finding a common fixed point of a asymptotically quasi-nonexpansive mapping and strictly pseudocontractive mapping and the problem of finding a common element of the set of fixed points of a asymptotically quasi-nonexpansive mapping and the set of zeros of an inverse-strongly monotone mapping.

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참고문헌

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