锥度量空间中<i>c</i>-距离的公共不动点定理

刘艳艳; 杨理平

doi:10.12052/gdutxb.180137

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锥度量空间中c-距离的公共不动点定理

综合研究 | 更新时间：2026-05-27

- 锥度量空间中c-距离的公共不动点定理
- Common Fixed Point Theorems for c-distances in Cone Metric Spaces
- 广东工业大学学报 2019年36卷第5期页码：43-47
- 作者机构：
  
  广东工业大学　应用数学学院,广东,广州,510520
- 作者简介：
  
  刘艳艳(1995−)，女，硕士研究生，主要研究方向为非线性泛函分析
- 基金信息：
  
  国家自然科学基金资助项目(61374081);教育部人文社科规划基金资助项目(14YJAZH095);广东省自然科学基金资助项目(2015A030313485);广州市科学计划项目(201707010494)
- DOI：10.12052/gdutxb.180137
  中图分类号： O177.91
- 网络首发：2019-08-21，
  
  纸质出版：2019
- 稿件说明：
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刘艳艳, 杨理平. 锥度量空间中c-距离的公共不动点定理[J]. 广东工业大学学报, 2019, 36(5): 43-47.

Liu Yan-yan, Yang Li-ping. Common Fixed Point Theorems for c-distances in Cone Metric Spaces[J]. 2019, 36(5): 43-47. DOI: 10.12052/gdutxb.180137.
刘艳艳, 杨理平. 锥度量空间中c-距离的公共不动点定理[J]. 广东工业大学学报, 2019, 36(5): 43-47. DOI： 10.12052/gdutxb.180137.

Liu Yan-yan, Yang Li-ping. Common Fixed Point Theorems for c-distances in Cone Metric Spaces[J]. 2019, 36(5): 43-47. DOI: 10.12052/gdutxb.180137. DOI：

摘要

在锥度量空间中不要求映射的非减性条件下

获得了

-距离意义下映射对的公共不动点定理; 另外在不要求锥的正规性和映射的连续性的条件下

证明了

-距离下映射对公共不动点的存在性和唯一性. 所得结果改进和推广了已有文献中的相关结论.

Abstract

In this paper

the common fixed point theorem for mapping pairs under

-distance is obtained in the cone metric space

The results do not require nondecreasing in the condition. In addition

the condition of the results neither require the normality for cone nor require the continuity for mapping

Furthermore

the existence and uniqueness of the mapping to the common fixed point under

-distance is proved. The results improve and generalize the relevant conclusions in the existing literature.

关键词

Keywords

references

HUANG L G, ZHANG X. Cone metric spaces and fixed point theorems of contractive mappings [J]. J Math. Anal. Appl, 2007, 332(2): 1468-1476.

SHI X T, GU F. A new common fixed point the-orem for the mappings in cone metric spaces [J]. Journal of Hangzhou Normal University, 2012, 11(2): 162-168.

CHEN P, KONG W M, YANG L P. Common fixed point theorems for four maps in the cone metric spaces [J]. Journal of Guangdong University of Technology, 2014, 31(4): 79-84.

M. ABBAS, G. JUNGCK Common fixed point results for noncommuting mappings without continuity in cone metric spaces [J]. J Math Anal Appl, 2008, 341(1): 416-420.

KONG W M, YANG L P. Common fixed point theorems of expansive mapping pairs in the cone metric space [J]. Journal of Guangdong University of Technology, 2013, 30(1): 76-80.

CHO YEOL JE, REZA SAADATI, WANG S H. Common fixed point theorems on generalized distance in ordered cone metric spaces [J]. Computers and Mathematics with Applications, 2011, 61(4): 1254-1260.

AYDI, H, FELHI, A, MUSTAFA, Z, et al . Strong coupled fixed points for couplings via c -distance [J ] . Journal of Mathematical Analysis, 2018, 9(3): 28-37.

WUTIPHOL SINTUNAVARAT, YEOL JE CHO, POOM KUMAM. Common fixed point theorems for c -distance in ordered cone metric spaces [J ] . Computers and Mathematics with Applications, 2011, 62(4): 1969-1978.

HAN Y, ZHANG J Y. Fixed point results under c -distance for non-continuous mapping in cone metric spaces [J ] . Acta Analysis Functional Applicata, 2017, 19(4): 424-429.

YANG Y O, CHOI H J. Fixed point theorems in ordered cone metric spaces [J]. Journal of Nonlinear Science and Applications, 2016, 9(6): 4571-4579.

HAN Y, XU S Y. Some new theorems on c -distance without continuity in Cone Metric Spaces over banach algebras [J ] . Journal o f Function Spaces, 2018.

HAN Y, ZHANG J Y. Fixed point results under c -distance in cone metric spaces [J ] . Pure and Applied Mathematics, 2015, 31(6): 581-587.

JU X W, GU Z. A class of fixed point thorems for expanding mappings in cone metric spaces [J]. Journal of Southwest University, 2014, 36(11): 112-116.

HUANG H P, RADENOVIC STOJAN, DOSE-NOVIC, TATJANA. Some common fixed point theorems on c -distance in cone metric spaces over banach algebras [J ] . Applied and Computation Mathematics, 2015, 14(2): 180-193.

DOREVI MOMILO, DORIC DRAGAN, KADE-KBURG ZORAN, et al . Fixed point results under c -distance in tvs-cone metric spaces [J ] . Fixed Point Theory and Applications, 2011.

张石生. 不动点理论及应用[M]. 重庆: 重庆出版社, 1984: 2-28.

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锥度量空间中c-距离的公共不动点定理

Common Fixed Point Theorems for c-distances in Cone Metric Spaces

DOI：10.12052/gdutxb.180137

摘要

Abstract

关键词

Keywords

references