数学物理学报 ›› 2014, Vol. 34 ›› Issue (2): 358-366.

• 论文 • 上一篇    下一篇

偏序G -度量空间中几个新的偶合不动点定理

 谷峰1, 2, 叶洪清3   

  1. 1.杭州师范大学应用数学研究所 杭州  |310036;
    2.杭州师范大学数学系 杭州  |310036;
    3.杭州市文昌高级中学 杭州 |311121
  • 收稿日期:2012-07-17 修回日期:2013-03-11 出版日期:2014-04-25 发布日期:2014-04-25
  • 基金资助:

    国家自然科学基金(11071169, 11271105)和浙江省自然科学基金(Y6110287, LY12A01030)资助.

Some New Coupled Fixed Point Theorems in Partially Ordered G-Metric Spaces

 GU Feng1, 2, XIE Hong-Qing3   

  1. 1.Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou |310036;
    2.Department of Mathematics, Hangzhou Normal University, Hangzhou 310036;
    3.Hangzhou Wenchang High School, Hangzhou |311121
  • Received:2012-07-17 Revised:2013-03-11 Online:2014-04-25 Published:2014-04-25
  • Supported by:

    国家自然科学基金(11071169, 11271105)和浙江省自然科学基金(Y6110287, LY12A01030)资助.

摘要:

该文在偏序G -度量空间的框架下, 引入了一类新的压缩条件, 证明了几个新的偶合不动点的定理, 得到的结果在很大程度上改进和发展了已有文献的相关结果.

关键词: G-度量空间, 偏序集, 偶合不动点, 混合单调性

Abstract:

In this paper, we introduce a new contractive condition into the G-metric spaces, and several new coupled coincidence
point theorems are established in G-metric spaces. The obtained results in this article extend and improve the recent relative
results.

Key words: G-metric space, Partially ordered set, Coupled fixed point, Mixed monotone property

中图分类号: 

  • 47H10