锥度量空间中Lipschitz型映射的新公共不动点定理

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 224-233.

锥度量空间中Lipschitz型映射的新公共不动点定理

1. Department of Mathematics, Zhaotong University 2. School of Mathematics and Statistics, Hubei Normal University

收稿日期:2011-10-11 出版日期:2013-06-30 发布日期:2023-03-02
作者简介:HAN Yan(1986-), female, native of Huanggang, Hubei, an assistant of Zhaotong University, engages in nonlinear functional analysis; XU Wang-bin(1965-), male, native of Tianmen, Hubei, an associate professor of Hubei Normal University, engages in mathematical education and history; XU Shao-yuan(1964-), male, native of Wuhan, Hubei, a professor of Hubei Normal University, engages in nonlinear functional analysis and fractal geometry.
基金资助:
Supported by the Foundation of Education Ministry of Hubei Province(D20102502)

Some New Theorems of Lipschitz Type Mappings in Cone Metric Spaces

1. Department of Mathematics, Zhaotong University 2. School of Mathematics and Statistics, Hubei Normal University

Received:2011-10-11 Online:2013-06-30 Published:2023-03-02
About author:HAN Yan(1986-), female, native of Huanggang, Hubei, an assistant of Zhaotong University, engages in nonlinear functional analysis; XU Wang-bin(1965-), male, native of Tianmen, Hubei, an associate professor of Hubei Normal University, engages in mathematical education and history; XU Shao-yuan(1964-), male, native of Wuhan, Hubei, a professor of Hubei Normal University, engages in nonlinear functional analysis and fractal geometry.
Supported by:
Supported by the Foundation of Education Ministry of Hubei Province(D20102502)

摘要/Abstract

摘要： In this paper, some new existence and uniqueness of common fixed points for three mappings of Lipschitz type are obtained. The conditions are greatly weaker than the classic conditions in cone metric spaces. These results improve and generalize several wellknown comparable results in the literature. Moreover, our results are supported by some examples.

关键词: cone metric space, lipschitz type mapping, common fixed point

Abstract: In this paper, some new existence and uniqueness of common fixed points for three mappings of Lipschitz type are obtained. The conditions are greatly weaker than the classic conditions in cone metric spaces. These results improve and generalize several wellknown comparable results in the literature. Moreover, our results are supported by some examples.

Key words: cone metric space, lipschitz type mapping, common fixed point

中图分类号:

O177.91

韩艳, 徐望斌, 许绍元. 锥度量空间中Lipschitz型映射的新公共不动点定理[J]. 数学季刊, 2013, 28(2): 224-233.

HAN Yan, XU Wang-bin, XU Shao-yuan. Some New Theorems of Lipschitz Type Mappings in Cone Metric Spaces[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 224-233.

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