关于G锥度量空间的一些注解

doi:10.13371/j.cnki.chin.q.j.m.2014.04.015

数学季刊 ›› 2014, Vol. 29 ›› Issue (4): 602-611.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.015

关于G锥度量空间的一些注解

1. School of Mathematics and Statistics, Hubei Normal University2. Department of Mathematics and Statistics, Hanshan Normal University

收稿日期:2013-08-06 出版日期:2014-12-30 发布日期:2020-11-27
作者简介:CAO Xiao-shuang(1988-), female, native of Zhongxiang, Hubei, a postgraduate of Hubei Normal University, engages in nonlinear analysis; XU Shao-yuan(1964-), male, native of Wuhan, Hubei, a professor of Hanshan Normal University, engages in nonlinear analysis(corresponding author).
基金资助:
Supported by the Natural Science Foundation of Hubei Province Education Department(Q20132505)； Supported by the Ph D Start-up Fund of Hanshan Normal University of Guangdong Province（QD20110920）；

Some Notes on G-cone Metric Spaces

1. School of Mathematics and Statistics, Hubei Normal University2. Department of Mathematics and Statistics, Hanshan Normal University

Received:2013-08-06 Online:2014-12-30 Published:2020-11-27
About author:CAO Xiao-shuang(1988-), female, native of Zhongxiang, Hubei, a postgraduate of Hubei Normal University, engages in nonlinear analysis; XU Shao-yuan(1964-), male, native of Wuhan, Hubei, a professor of Hanshan Normal University, engages in nonlinear analysis(corresponding author).
Supported by:
Supported by the Natural Science Foundation of Hubei Province Education Department(Q20132505)； Supported by the Ph D Start-up Fund of Hanshan Normal University of Guangdong Province（QD20110920）；

摘要/Abstract

摘要： In this paper, we introduce a G metric on the G-cone metric space and then prove that a complete G-cone metric space is always a complete G metric space and verify that a contractive mapping on the G-cone metric space is a contractive mapping on the G metric space. At last, we also give a new way to obtain the unique fixed point on G-cone metric space.

关键词: G-cone metric space, G metric, contractive mapping

Abstract: In this paper, we introduce a G metric on the G-cone metric space and then prove that a complete G-cone metric space is always a complete G metric space and verify that a contractive mapping on the G-cone metric space is a contractive mapping on the G metric space. At last, we also give a new way to obtain the unique fixed point on G-cone metric space.

Key words: G-cone metric space, G metric, contractive mapping

中图分类号:

O177.3

曹小双, 许绍元. 关于G锥度量空间的一些注解[J]. 数学季刊, 2014, 29(4): 602-611.

CAO Xiao-shuang, XU Shao-yuan. Some Notes on G-cone Metric Spaces[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(4): 602-611.

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关于G锥度量空间的一些注解

Some Notes on G-cone Metric Spaces

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