Zhang Shi-sheng, Luo Qun. Set-Valued Caristi’s Fixed Point Theorem and Ekeland’s Variational Principle[J]. Applied Mathematics and Mechanics, 1989, 10(2): 111-113.
Citation: Zhang Shi-sheng, Luo Qun. Set-Valued Caristi’s Fixed Point Theorem and Ekeland’s Variational Principle[J]. Applied Mathematics and Mechanics, 1989, 10(2): 111-113.

Set-Valued Caristi’s Fixed Point Theorem and Ekeland’s Variational Principle

  • Received Date: 1987-11-02
  • Publish Date: 1989-02-15
  • This paper proposes a formally stronger set-valued Caristi's fixed point theorem and by using a simple method we give a direct proof for the equivalence between Ekeland's variational principle and thin set-valued Caristi's fixed point theorem. The results stated in this paper improve and strengthen the corresponding results in [4].
  • loading
  • [1]
    Ekeland,I.,On the variational principle,J.Math.Anal.Appl.,47(1974),324-353.
    [2]
    Ekeland,I.,Nonconvex minimization problems,Bull:Amer.Math.Soc.(New Series),1(1979),443-474.
    [3]
    Caristi,J.,Fixed point theorems for mappings satisfying inwardness conditions,Trans.Amer.Math.Soc.,215(1976),241-251.
    [4]
    史树中.Ekeland变分原理与Caristi不动点定理的等价性,数学进展,16,2 (1987), 203-206.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2143) PDF downloads(610) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return