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一类非线性变分不等式解的强收敛定理

STRONG CONVERGENCE THEOREM FOR SOME SOLUTION OF NONLINEAR VARIATIONAL INEQUALITY
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摘要 研究了Hilbert空间中一类非线性变分不等式问题。运用迭代算法证明了一个强收敛定理。其结果改进并推广了引文中相应的结果。 We study the convergence of the solution of some nonlinear variational inequality in Hilbert space. A strong convergence theorem is proved based on a proposed iterative algorithm,which extends and improves the corresponding results.
出处 《井冈山大学学报(自然科学版)》 2011年第3期1-5,共5页 Journal of Jinggangshan University (Natural Science)
基金 四川省教育厅重点课题基金项目(07ZA123)
关键词 变分不等式 不动点 单调映象 非扩张映象 强收敛定理 variational inequality fixed point monotone mapping nonexpansive mapping strong convergence theorem
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参考文献4

  • 1Pascali D,Sburlan S. Nonlinear mappings of monotone type[M].The Netherlands: Bucuresti Editura Academiei, 1978.
  • 2Nadezhkina N, Takahashi W. Strong Conver-gence Theorem by a Hybrid Method for onexpansive Mappings and Lipschitz-continuous Monotone Mappings[J].SIAM Journal on Optimization, 2006,16(4): 1230-1241.
  • 3Marino G, Xu H K. Weak and Strong Convergence Theorems for Strict Pseudo-contractions in Hilbert Space[J].Proc.Amer.Math.Soc., 1994,122:733-739.
  • 4Rockafellar R T, On the maximality of sums of nonlinear monotone operators[J].Trans. Amer.Math Soc., 1970,149:75-88.

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