锥度量空间中广义压缩映象及映象对的不动点定理

J4 ›› 2008, Vol. 43 ›› Issue (5): 82-86 .doi:

锥度量空间中广义压缩映象及映象对的不动点定理

袁清¹,高建军²,王延伟²

1. 杭州师范大学理学院，浙江杭州 310036; 2. 山东大学工程训练中心, 山东济南 250061

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 袁清

Fixed point theorems for the generalized contractive mappings and mapping pairs in cone metric spaces

YUAN Qing¹, GAO Jian-jun², WANG Yan-wei²

1. School of Science, Hangzhou Normal University, Hangzhou 310036, Zhejiang, China;2. Engineering Training Center, Shandong University, Jinan 250061, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: YUAN Qing

摘要/Abstract

摘要：

自锥度量空间的概念被提出以来,已经有数位学者对其结构和性质进行了探讨,本文研究了锥度量空间中的广义压缩映象不动点的存在性问题,放宽了映象的压缩条件,同时本文还研究了锥度量空间中广义压缩映象对的公共不动点的存在性问题。这些结论推广了近期的结论,同时也是对度量空间中经典结论的推广。

关键词: 锥度量空间;不动点;广义压缩映象;压缩映象对

Abstract:

Since the notation of cone metric spaces was raised, several authors have studied its constructions and properties. The results on the existence of fixed points of generalized contractive mappings were extended by relaxing the contractive conditions. The existence of common fixed points of generalized contractive mapping pairs was also discussed. The obtained results extend the recent relative results and the classical theorems in metric spaces.

Key words: cone metric spaces; fixed points; generalized contractive mappings; contractive mapping pairs

中图分类号:

O177.91

袁清,高建军,王延伟 . 锥度量空间中广义压缩映象及映象对的不动点定理[J]. J4, 2008, 43(5): 82-86 .

YUAN Qing,GAO Jian-jun,WANG Yan-wei . Fixed point theorems for the generalized contractive mappings and mapping pairs in cone metric spaces[J]. J4, 2008, 43(5): 82-86 .

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