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带扰动的极大单调算子的映射定理 被引量:5

Some Mapping Theorems for Perturbations of Maximal Monotone Operator
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摘要 研究了抽象空间中以原点为心的球和极大单调算子扰动后的值域的关系,把Morales关于增生算子的某些结果推广和改进为关于单调算子的有关结果. In this paper,we studythe relation between the ball with center zero in abstract space and the ranges of perturbations of maximal monotone operator,our theorems complement and extend the results of Morales about accretive operators to the results of monotone operators.
作者 魏利
出处 《河北师范大学学报(自然科学版)》 CAS 1996年第2期12-14,共3页 Journal of Hebei Normal University:Natural Science
关键词 单调算子 全连续算子 严格凸空间 映射定理 monotone operator completely-continuous mapping strictly-convex space
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同被引文献21

  • 1魏利.关于极大单调算子扰动的注[J].河北师范大学学报(自然科学版),1997,21(1):11-13. 被引量:3
  • 2郭大均.非线性泛函分析[M].济南:山东科技出版社,1985..
  • 3[1]BROWDER F E.Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces[J]. Pro. Sympos Pure Math. Amer. Math. Soc. Prov. R I 1976,18(2):90-100.
  • 4[3]BARBU V.Nonlinear Semigroups and Differential Equations in Banach Spaces[M].Netherlands:Noordhoff,Leyden,1976.1-50.
  • 5郭大均.非线性泛函分析[M].济南:山东科学技术出版社,1985..
  • 6Wei Li, He Zhen. The applications of sums of ranges of accretive operators to nonlinear equations involving the P-Laplacian operator[J]. Nonlinear analysis, 1995,24(2): 185-193.
  • 7Browder F E. Nonlinear operators and nonlinear equations of evolution in Banach spaces[J]. Proc Sympos Pure Math Amer Math Soc Prov R I, 1976,18(2):90-100.
  • 8Barbu V. Nonlinear Semigroups and Differential Equations in Banach Spaces [M]. Netherlands: Noordhoff,Leyden, 1976.1-50.
  • 9Calvert B. Perturbation by Nemytskii operators of m-T-accretive operators in Lq, q(1. +oo)[J]. Rev Roum Math Pures et Appl, 1977, XXII(7): 883-906.
  • 10Calvert B D, Gupta C P. Nonlinear elliptic boundary value problems in L^P-spaces and sums of ranges of accretive operators[J]. Nonlinear Analysis, 1978, 2(1): 1-26.

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