Publication Cover
Applicable Analysis
An International Journal
Volume 34, 1989 - Issue 1-2
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Original Articles

A general principle on ordered sets and its applications to fixed point theory

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Pages 129-137 | Received 25 Jan 1989, Published online: 02 May 2007

References

  • Brezis , H. and Browder , F.E. 1976 . A general principle on ordered sets in nonlinear functional analysis . Advance in Math , 21 : 355 – 364 .
  • Lakshmikantham , V. and Leela , S. 1981 . Nonlinear Differential Equations in Abstract Spaces , New York : Pergamon Press .
  • Sun , Jingxian and Sun , Yong . 1986 . Some fixed point theorems of increasing operators . Appl. Anal , 23 : 23 – 27 .
  • Sun , Jingxian . 1988 . Fixed point theorems of discontinuous increasing operators and applications to nonlinear equations with discontinuous terms . Acta Math. Sinica , 31 : 101 – 107 .
  • Krasnosel’skii , M. A. 1964 . Positive Solutions of Operator Equations , Netherlands : P. Noordhoff .
  • Sun , Jingxian . 1964 . Some new criterions for the compactness in Banach spaces and applications . Chinese Ann. Math ,
  • Sun , Jingxian . 1987 . Some problems about cone theory and increasing operators . J. Shandong Univ , 22 : 35 – 42 .
  • Deimling , K. 1985 . Nonlinear Functional Analysis , Springer-Verlag .
  • Sun , Jingxian . 1985 . Fixed points and generalized fixed points of increasing operators . Acta Math. Sinica ,

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