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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

 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.
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. doi: 10.21656/1000-0887.370261
 Citation: 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.

## 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

##### doi: 10.21656/1000-0887.370261

###### 作者简介:刘丽亚(1991—), 女, 硕士(E-mail: 846883245@qq.com);谷峰(1960—), 男, 教授(通讯作者. E-mail: gufeng99@sohu.com).
• 中图分类号: O177.91

## A New Coupled Common Fixed Point Theorem for Square Contractive Mappings in 2-Metric Spaces

Funds: The National Natural Science Foundation of China(11071169)
• 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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##### 出版历程
• 收稿日期:  2016-08-30
• 修回日期:  2016-10-16
• 刊出日期:  2017-08-15

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