YANG Cuang-chong. Fixed Ponts of Increasing Operators in Ordered Space With Applications[J]. Applied Mathematics and Mechanics, 2002, 23(3): 309-315.
Citation: YANG Cuang-chong. Fixed Ponts of Increasing Operators in Ordered Space With Applications[J]. Applied Mathematics and Mechanics, 2002, 23(3): 309-315.

Fixed Ponts of Increasing Operators in Ordered Space With Applications

  • Received Date: 2001-01-20
  • Rev Recd Date: 2001-08-20
  • Publish Date: 2002-03-15
  • The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized.The obtained results are then applied to singular nonlinear boundary problem in ordinary differential equation without any assumption of continuity,compactness,convexity and concavity.
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  • [1]
    赵增勤. 半序线性空间混合单调映射不动点的存在唯一性[J]. 系统科学与数学,1999,19(2):217-224.
    [2]
    ZHAO Zeng-qin. Uniqueness of positive solutions for singular nonlinear second order boundary-value problems[J]. Nonlinear Analysis TMA,1994,23(6):755-765.
    [3]
    Deimiling K. Nonlinear Functional Analysis[M]. Berlin:Springer-Verlag,1985.
    [4]
    郭大钧. 非线性泛函分析[M]. 济南:山东科技出版社,1985.
    [5]
    ZHANG Zhi-tao. New fixed point theorems of mixed monotone operators and applications[J]. J Math Anal Appl,1996,204(1):307-319.
    [6]
    张志涛. 混合单调算子的不动点定理及其应用[J]. 数学学报,1998,41(6):1121-1126.
    [7]
    李福义,梁展东. φ-凹(凸)算子的不动点及其应用[J]. 系统科学与数学,1994,14(4):355-360.
    [8]
    李福义,冯锦华,沈沛龙. 一类减算子的不动点及其应用[J]. 数学学报,1999,42(2):193-196.
    [9]
    张石生. 不动点理论及应用[M]. 重庆:重庆出版社,1984.
    [10]
    GUO Da-jun, Lakshmikantham V. Coupled fixed points of nonlinear operators with applications[J]. Nonlinear Analysis TMA,1987,11(5):623-632.
    [11]
    孙经先. 非连续增算子的不动点定理及其对含间断项的非线性积分方程的应用[J]. 数学学报,1988,31(1):101-107.
    [12]
    杨光崇. 有序Banach空间的拟弱收敛及其应用[J]. 应用数学和力学,1999,20(11):1198-1102.
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