| b-度量空间中压缩型映象的公共不动点定理 |
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| 引用本文： | 刘丽亚,谷峰. b-度量空间中压缩型映象的公共不动点定理[J]. 纯粹数学与应用数学, 2016, 32(6): 591-605. DOI: 10.3969/j.issn.1008-5513.2016.06.005 |
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| 作者姓名： | 刘丽亚 谷峰 |
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| 作者单位： | 杭州师范大学数学系,浙江 杭州,310036;杭州师范大学数学系,浙江 杭州,310036 |
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| 基金项目： | 国家自然科学基金(11071169)，浙江省自然科学基金(Y6110287) |
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| 摘 要： | 在完备的b-空间中,建立一个压缩型映象,研究公共不动点的存在性和唯一性,得到了一个新的公共不动点定理.举例证明了在b-空间中的新结果,改进了当前文献中的结果.
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| 关 键 词： | 完备b-空间 压缩映象 公共不动点 弱相容 |
A common fixed point theorem of contractive mappings in b-metric spaces |
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| Liu Liya,Gu Feng. A common fixed point theorem of contractive mappings in b-metric spaces[J]. Pure and Applied Mathematics, 2016, 32(6): 591-605. DOI: 10.3969/j.issn.1008-5513.2016.06.005 |
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| Authors: | Liu Liya Gu Feng |
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| Abstract: | In complete b-metric spaces, by establishing a new contractive condition, we obtain the existence and the uniqueness of fixed point theorem , We also provide illustrative examples in support of our new results in b-metric spaces. The result obtained in this paper differ from the recent relative results in the literature. |
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| Keywords: | complete b-metric space contractive mappings common fixed point weak compatible |
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