| 2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理 |
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| 引用本文： | 刘丽亚,谷峰.2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理[J].应用数学和力学,2017,38(8):956-966. |
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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 应用数学研究所, 杭州 310036 |
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| 基金项目： | The National Natural Science Foundation of China(11071169)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2-距离空间的框架下, 利用映象对的ω-相容性条件, 建立了一类新的平方型压缩条件, 讨论了此类映象耦合公共不动点的存在性和唯一性.证明了一个新的耦合公共不动点定理, 也提供了一个有效的例子来支持该文的新结果.该文的结果改善了之前文献中的相关结果.
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| 关 键 词： | 2-距离空间 压缩映象 耦合重合点 耦合公共不动点 混合g-单调性 |
| 收稿时间： | 2016-08-30 |
A New Coupled Common Fixed Point Theorem for Square Contractive Mappings in 2-Metric Spaces |
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| LIU Li-ya,GU Feng.A New Coupled Common Fixed Point Theorem for Square Contractive Mappings in 2-Metric Spaces[J].Applied Mathematics and Mechanics,2017,38(8):956-966. |
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| Authors: | LIU Li-ya GU Feng |
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| Institution: | Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University, Hangzhou 310036, P.R.China |
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| Abstract: | In the framework of 2-metric spaces,a new class of square contractive conditions were established and the existence and uniqueness of the coupled common fixed point in given conditions were discussed,by means of the ω-compatible condition for the pair of mappings.Then a new coupled common fixed point theorem was proved.Several illustrative examples were also given in support of the new theorem.The work improves the relative resuts in the recent literatures. |
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| Keywords: | 2-metric space contractive mapping coupled coincidence point coupled common fixed point mixed g-monotonicity |
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