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关于非扩张映象的耗散扰动问题

罗元松

罗元松. 关于非扩张映象的耗散扰动问题[J]. 应用数学和力学, 2001, 22(4): 420-424.
引用本文: 罗元松. 关于非扩张映象的耗散扰动问题[J]. 应用数学和力学, 2001, 22(4): 420-424.
LUO Yuan-song. On the Problem of Dissipative Perturbations of Nonexpansive Mappings[J]. Applied Mathematics and Mechanics, 2001, 22(4): 420-424.
Citation: LUO Yuan-song. On the Problem of Dissipative Perturbations of Nonexpansive Mappings[J]. Applied Mathematics and Mechanics, 2001, 22(4): 420-424.

关于非扩张映象的耗散扰动问题

基金项目: 四川省教委重点科研基金资助项目(川教计[1998]162号“具增生算子的非线性方程研究”)
详细信息
    作者简介:

    罗元松(1947- ),男,四川兴文县人,教授,现任宜宾师专校长.

  • 中图分类号: O177.91

On the Problem of Dissipative Perturbations of Nonexpansive Mappings

  • 摘要: 研究非扩张映象的耗散扰动问题。并把所得结果应用于研究某些类型的非线性积分方程解的存在性。
  • [1] Gatica J A, Kirk W A. Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings[J]. Rocky Mountain J Math,1994,4:69-79.
    [2] Kirk W A,Schonberg R. Some results on pseudo-contractive mappings[J]. Pacific J Math,1977,71:89-100.
    [3] Morales C. Pseudo-contractive mappings and the Leray-Schauder boundary condition[J]. Comment Math Univ Carolinae,1979,20: 745-756.
    [4] Reinermann J,Schonberg R. Some Results and Problems in the Fixed Point Theory for Nonexpansive and Pseudo-Contractive Mappings in Hilbert Spaces[M]. S Swaminathaned: Academic Press, 1976.
    [5] Chen Y Q. The fixed point index for accretive mappings with k-set contraction perturbation in cones[J]. Internat J Math Math Sci,1996, 19(2):287-290.
    [6] Chen Y Q. On accretive operators in cones of Banach spaces[J]. Nonlinear Anal, TMA,1996,27(10): 1125-1135.
    [7] Chen Y Q,Cho Y J. On 1-set contractions accretive operators in cones of Banach spaces[J]. J Math Anal Appl,1996,201(3): 966-980.
    [8] Alspach D E. A fixed point free nonexpansive map[J]. Proc Amer Math Soc,1981,82(3): 423-424.
    [9] Browder F E. Nonlinear nonexpansive operators in Banach spaces[J]. Proc Nat Acad Sci USA,1965,54: 1041-1044.
    [10] Browder F E. Nonlinear operators and nonlinear equations of evolution in Banach spaces[J]. Proc Sympos Pure Math,1976,18(2):1023-1027.
    [11] 张石生. 不动点理论及应用[M]. 重庆:重庆出版社,1984.
    [12] Isac G. On an Altman type fixed point theorem on convex cones[J]. Rocky Mountain J Math,1995,2: 701-714.
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出版历程
  • 收稿日期:  1999-10-08
  • 修回日期:  2000-03-07
  • 刊出日期:  2001-04-15

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