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一个集值映射的不动点定理

阿米塔比·伯纳尔吉 撒克·伯尔旺特·辛琪

阿米塔比·伯纳尔吉, 撒克·伯尔旺特·辛琪. 一个集值映射的不动点定理[J]. 应用数学和力学, 2001, 22(12): 1255-1261.
引用本文: 阿米塔比·伯纳尔吉, 撒克·伯尔旺特·辛琪. 一个集值映射的不动点定理[J]. 应用数学和力学, 2001, 22(12): 1255-1261.
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.

一个集值映射的不动点定理

基金项目: 印度高校奖励委员会资助项目
详细信息
  • 中图分类号: O189.2

A Fixed Point Theorem for Set-Valued Mappings

  • 摘要: 得到了从度量空间X(不必是完备的)到X的非空有界子集族B(X)的集值映射的一些不动点,其结果推广了一些已有的结论.
  • [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.
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出版历程
  • 收稿日期:  1999-12-02
  • 刊出日期:  2001-12-15

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