Amitabh Banerjee, Thakur Balwant Singh. A Fixed Point Theorem for Set-Valued Mappings[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1255-1261.
Citation: Amitabh Banerjee, Thakur Balwant Singh. A Fixed Point Theorem for Set-Valued Mappings[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1255-1261.

A Fixed Point Theorem for Set-Valued Mappings

  • Received Date: 1999-12-02
  • Publish Date: 2001-12-15
  • Fixed points for set-valued mappings from a metric space X(not necessarily complete) into B(X), the collection of nonempty bounded subsets of X are obtained. The result generalizes some known results.
  • loading
  • [1]
    Nadler S D Jr.Multivalued contraction mapping[J].Pacific J Math,1969,30:457-488.
    [2]
    Reich S.Some results concerning contraction mappings[J].Canad Math Bull,1971,14:121-124.
    [3]
    Khan M S.A theorem on fixed point[J].Math Semin Notes,1976,4:227-228.
    [4]
    Kaulgud N N,Pai D V.Fixed point theorems forset valued mappings[J].Nieuw Arch Wisk,1975,23:49-66.
    [5]
    Fisher B.Set valued mappings on bounded metric spaces[J].Indian J Pure Appl Math,1980,11:8-12.
    [6]
    Fisher B.Common fixed point theorems for mappings and set valued mappings[J].Rostock Math Kollor,1981,18:69-77.
    [7]
    Fisher B.Set valued mappings on metric spaces[J].Fu nd Math,1981,112:141-145.
    [8]
    Fisher B.Common fixed points for mappings and set valued mappings in metric spaces[J].Kyungpook Math J,1985,25:35-42.
    [9]
    Rhoades B E,Watson B.Fixed points for set valued mappings on metric spaces[J].Math Japon,1990,35(4):735-743.
    [10]
    Rhoades B E.Fixed point theorems forset valued mappings[J].Math Semin Notes,1982,10.
    [11]
    Rhoades B E.Common fixed points of compatible setvalued mappings[J].Publ Math Debrecen,1996,48(3-4):237-240.
    [12]
    Imdad M.On a fixed point theorem of Delbosco[J].Aligarh Bull Math,1990-91,13:31-37.
    [13]
    Delbosco D.Aunified approach for all contractive mapping[J].Jnanabha,1986,16:1-11.
    [14]
    Kiventidis T.On fixed points in Hausdroff spaces[J].Indian J Pure Appl Math,1985,16(12):1420-1424.
    [15]
    Ray B K.On common fixed points in metric spaces[J].Indian J Pure Appl Math,1988,19(10):960-962.
    [16]
    Rhoades B E,Tiwari K,Singh G N.Acommon fixed point theorem for compatible mappings[J].Indian J Pure Appl Math,1995,26(5):403-409.
    [17]
    Mukherjee R N.On fixed points of single valued and setvalued mappings[J].J Indian Acad Math,1982,4:101-103.
    [18]
    Naimpally S N,Singh S L,Whitefield T H M.Coincidence theorems for hybrid contraction[J].Nachr,1986,127:177-180.
    [19]
    Jungck G.Compatible mappings and common fixed points[J].Int ernat J Math Math Sci,1986,9(4):771-779.
    [20]
    Jungck G.Common fixed points of commuting and compatible maps on compacta[J].Proc Amer Math Soc,1988,103:977-983.
    [21]
    Liu Z Q.A note on unigue common fixed point[J].Bull Calcutta Math Soc,1993,85:469-472.
  • 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 (2140) PDF downloads(683) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return