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集包含的误差界 被引量:1

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摘要 建立了赋范空间中的一种Robinson—Ursescu型定理.获得了一些凸包含的误差界定理,特别地在更弱的条件下证明Li—Singer猜想.还研究了扰动误差界.作为应用,同时研究了凸不等式系统的误差界.
作者 郑喜印
机构地区 云南大学数学系
出处 《中国科学(A辑)》 CSCD 北大核心 2003年第6期631-643,共13页 Science in China(Series A)
基金 国家自然科学基金(批准号:19861004) 云南省应用基础研究基金资助项目
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参考文献16

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同被引文献9

  • 1Richard B H.Geometric Functional Analysis and Its Applications[M].Berlin:Springer-Verlag,1975.
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  • 3Luo Zhiqiang,Tseng P.Error bounds and convergence analysis of matrix splitting algorithms for the affine variational inequality problem[J].SIAM J Optim,1992,2:43-54.
  • 4Mangasarian Q L.Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem[J].SIAM J Optim,1991,1:114-122.
  • 5Pang Jongshi.Error bounds in mathematical programming[J].Math Programming(Set B),1997,79:299-332.
  • 6Li Wu,Singer I.Global error bounds for convex multifunction and applications[J].Math Oper Res,1998,23:443-462.
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  • 8黄辉.集值映射的误差界[J].中山大学学报(自然科学版),2003,42(4):12-14. 被引量:1
  • 9黄辉.凸集值映射的整体误差界[J].高校应用数学学报(A辑),2003,18(3):357-364. 被引量:1

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