| 2-距离空间中集值映象串的公共不动点 |
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| 引用本文： | 张从军.2-距离空间中集值映象串的公共不动点[J].淮北煤炭师范学院学报(自然科学版),1992(3). |
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| 作者姓名： | 张从军 |
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| 作者单位： | 淮北煤师院数学系 |
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| 摘 要： | 自从S.Gahler在1964年提出2距离空间的概念以来,(见4])这个理论及应用已有了很大发展.但2-距离空间中集值映射不动点理论的研究至今尚未多见.本文给出了2-距离空间中集值映射和集值映射串的两个不动点定理.从而把2]、3]中关于2-距离空间单值映射的相应结果推广到集值映射.
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| 关 键 词： | 2-距离空间 集值映射 一致闭集 公共不动点 |
Fixed point theorems for contraction type Set-Valued mappings in 2-Metric Spaces |
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| Chang Congjun.Fixed point theorems for contraction type Set-Valued mappings in 2-Metric Spaces[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1992(3). |
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| Authors: | Chang Congjun |
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| Institution: | Huaibei Coal Mining Teachers College |
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| Abstract: | Since the concept of 2-metric space was introduced by Gahler 4] in 1964,the theory of 2-metric space has been made considerable headway, but we find few results on fixed point theory for set-valued mappings in 2-metric spaces so far. Using new concept introduced in 1], two fixed point theorems for contraction type set-valued mappings in 2-metric spaces are gived in this paper. The results obtained in this paper generalize the corresponding results for single-valued mappings in 2-metric spaces 2-3]. |
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| Keywords: | 2-metric space set-valued mappings uniform closed set common fixed point |
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