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半序集上增算子的不动点定理及其应用 被引量:2

Fixed-Point Theorems of Increasing Operator in Simiordered Set and Its Applications
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摘要 在半序集上,利用Zorn引理,获得增算子的不动点定理,并由此导出两个二元算子对的耦合不动点定理。 In the simiordcred sets,using Zorn's Lemma,a fixed point theorem for increasing operator is obtained,from which the coupled fixed-point theorem for two binaryoperator pairs is derived.
作者 颜心力
出处 《西安冶金建筑学院学报》 CSCD 1990年第4期354-358,共5页
关键词 半序集 增算子 耦合不动点 fixed-point/simiordered set increasing operator coupled fixed point
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同被引文献25

  • 1杜一宏.一类非紧算子的不动点及其应用[J].数学学报(中文版),1989,32(5):618-627. 被引量:40
  • 2张宪.序压缩映射的不动点定理[J].数学学报(中文版),2005,48(5):973-978. 被引量:40
  • 3Guo Dajun, Lakshmikanthan V. Coupled fixed points of nonlinear operators with applications[J]. Nonlinear Ana. TMA, 1987,11(5):623-632.
  • 4Yan Xinli. The existence and uniqueness of solution for nonlinear operator equations[J]. Math. Japonica, 1992,37(3):519-527.
  • 5Guo D J, Larshmikantham V. Coupled fixed points of nonlinear operators with applications[J]. Nonlinear Anal Theory Method App, 1987, 11(5): 623-632
  • 6Zhan Z T. New fixed theorems of mixed monotone operators and applications[J]. J Math Anal Appa, 1996, 204(1): 307-319
  • 7Carist J. Fixed point theorems for mapping satisfying inwardness conditions[J]. Trans Amer Math Soc, 1976, 215:241-251
  • 8Yan X L. The existence and uniqueness of solution for non-linear operator equations[J]. Math Japonica, 1992, 37(3): 519-527
  • 9Luiper H J. On positive solutions of nonlinear elliptic eigenvalue problems[J]. Rend Cire Math Palenno, 1979, 20(2): 113-138
  • 10纪德红,田玉,葛渭高.带p-Laplace算子多点边值问题正解的存在性[J].数学学报(中文版),2009,52(1):1-8. 被引量:5

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