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ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS

ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS
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摘要 The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results. The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.
作者 张石生
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第7期883-889,共7页 应用数学和力学(英文版)
基金 the Natural Science Foundation of Yibin University (No.2005Z3)
关键词 sequence of nonexpansive mappings viscosity approximation common fixed point demi-closed principle weakly sequentially continuous duality mapping normalized duality mapping sequence of nonexpansive mappings viscosity approximation common fixed point demi-closed principle weakly sequentially continuous duality mapping normalized duality mapping
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参考文献2

  • 1Ronald E. Bruck.On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces[J].Israel Journal of Mathematics.1981(4)
  • 2Felix E. Browder.Convergence of approximants to fixed points of nonexpansive nonlinear mappings in banach spaces[J].Archive for Rational Mechanics and Analysis.1967(1)

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