锥距离空间中压缩条件下的公共不动点定理

数学季刊 ›› 2013, Vol. 28 ›› Issue (1): 47-52.

锥距离空间中压缩条件下的公共不动点定理

1. Kewen Institute, Jiangsu Normal University 2. School of Mathematical Science, Jiangsu Normal University

收稿日期:2011-03-21 出版日期:2013-03-30 发布日期:2023-03-08
作者简介:Wang Yun-jie(1978-), male, native of Fuyang, Anhui, a lecturer of Jiangsu Normal University, engages in nonlinear function analysis; ZHU Jiang(1959-), male, native of Lianyungang, Jiangsu, a professor of Jiangsu Normal University, engages in nonlinear function analysis.
基金资助:
Supported by the NNSF of China(10771212)； Supported by the Natural Science Foundation of Xuzhou Normal University(09KLB03)

Common Fixed Points under Contractive Conditions in Cone Metric Spaces

1. Kewen Institute, Jiangsu Normal University 2. School of Mathematical Science, Jiangsu Normal University

Received:2011-03-21 Online:2013-03-30 Published:2023-03-08
About author:Wang Yun-jie(1978-), male, native of Fuyang, Anhui, a lecturer of Jiangsu Normal University, engages in nonlinear function analysis; ZHU Jiang(1959-), male, native of Lianyungang, Jiangsu, a professor of Jiangsu Normal University, engages in nonlinear function analysis.
Supported by:
Supported by the NNSF of China(10771212)； Supported by the Natural Science Foundation of Xuzhou Normal University(09KLB03)

摘要/Abstract

摘要： In order to develop and improve the fixed point theorems in cone metric spaces, some new fixed point theorems are presented for two mappings in cone metric spaces which satisfy contractive conditions, where the cone is not necessarily normal. Our results generalize fixed point theorems of Abbas, Jungck and Stojan Radenovic in cone metric spaces.

关键词: cone metric space, normal and non-normal cone, common fixed point

Abstract: In order to develop and improve the fixed point theorems in cone metric spaces, some new fixed point theorems are presented for two mappings in cone metric spaces which satisfy contractive conditions, where the cone is not necessarily normal. Our results generalize fixed point theorems of Abbas, Jungck and Stojan Radenovic in cone metric spaces.

Key words: cone metric space, normal and non-normal cone, common fixed point

中图分类号:

O177.91

王云杰, 朱江. 锥距离空间中压缩条件下的公共不动点定理[J]. 数学季刊, 2013, 28(1): 47-52.

WANG Yun-jie, ZHU Jiang. Common Fixed Points under Contractive Conditions in Cone Metric Spaces[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(1): 47-52.

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