Shi Chuan. Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space[J]. Applied Mathematics and Mechanics, 1997, 18(2): 185-192.
Citation: Shi Chuan. Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space[J]. Applied Mathematics and Mechanics, 1997, 18(2): 185-192.

Caristi Type Hybrid Fixed Point Theorems in Menger Probabilistic Metric Space

  • Received Date: 1955-12-18
  • Rev Recd Date: 1996-04-02
  • Publish Date: 1997-02-15
  • This paper brings forward the concept of Caristi type hybrid fixed point in M-PM-space, by giving two hybrid fixed point theorems and two common hybrid fixedpoint theorems of sequences of set-valued mappings, the theorenms inprove and generalize the Caristis fixed point and correspond to recent important results.
  • loading
  • [1]
    J,Caristi,Fixed point theorems for mappings satisfying inwardness conditions,Trams,Amer,Math,Soc,,21(1976),241-251.
    [2]
    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.
    [3]
    张石生、罗群,集值的Caristi不动点定理与Ekeland变分原理,应用数学和力学,10(2) (1989),111-113.
    [4]
    张石生、黄南京、石川,概率度量空间中集值Caristi定理,四川大学学报(自然科学版),30(1)(1993),12-16.
    [5]
    Jeong Sheok Umo,Some existence theorems generalizing fixed point theorems on complete metric spaces,Math,Japonica,40(1) (1994),109-114.
    [6]
    Chang Shihsen and Luo Qun,Caristi's fixed point theorem for fuzzy mappings and Ekeland's variaiional principle,Fuzzy Sets and Systems,6(1994),119-125.
    [7]
    S,S,Chang,Yeol Je Cho and Skin Min Kang,Prclabilistic Matric Spaces and Nonlinear Operator Theory,Sichuan University Press,Chengdu,China(1994).
  • 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 (2802) PDF downloads(744) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return