b2-度量空间中一对广义循环收缩映射的公共不动点定理

doi:10.13371/j.cnki.chin.q.j.m.2020.01.006

数学季刊 ›› 2020, Vol. 35 ›› Issue (1): 63-76.doi: 10.13371/j.cnki.chin.q.j.m.2020.01.006

b₂-度量空间中一对广义循环收缩映射的公共不动点定理

WANG Ya-min, SAI Peng-fei

Huanghe Jiaotong University, Henan, 454000, China

收稿日期:2019-11-09 出版日期:2020-03-30 发布日期:2020-08-06
作者简介:WANG Yarmin(1990-), femal, native of Shangshuixian, Henan, graduate student, engages in nonlinear analysis; SAI Peng-fei(1985-), male, native of Wuzhi, Henan, graduate student, engages in research on model construction.

Common Fixed Point Theorems for Generalized Cyclic Contraction Pairs in 62-metric Spaces

WANG Ya-min, SAI Peng-fei

Huanghe Jiaotong University, Henan, 454000, China

Received:2019-11-09 Online:2020-03-30 Published:2020-08-06
About author:WANG Yarmin(1990-), femal, native of Shangshuixian, Henan, graduate student, engages in nonlinear analysis; SAI Peng-fei(1985-), male, native of Wuzhi, Henan, graduate student, engages in research on model construction.

摘要/Abstract

摘要： In this paper, we introduce the notion of generalized cyclic contraction pairs in b₂-metric spaces and establish some fixed point theorems for such pairs. Then，we give an example to illustrate our results.

关键词: b₂-metric space, common fixed point, cyclic contraction mappings, weak transitive

Abstract: In this paper, we introduce the notion of generalized cyclic contraction pairs in b₂-metric spaces and establish some fixed point theorems for such pairs. Then，we give an example to illustrate our results.

Key words: b₂-metric space, common fixed point, cyclic contraction mappings, weak transitive

中图分类号:

O213.2

王亚敏, 赛朋飞. b₂-度量空间中一对广义循环收缩映射的公共不动点定理 [J]. 数学季刊, 2020, 35(1): 63-76.

WANG Ya-min, SAI Peng-fei. Common Fixed Point Theorems for Generalized Cyclic Contraction Pairs in 62-metric Spaces[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(1): 63-76.

[1]	宋际平, 王茂发. 序锥度量空间中涉及距离改变函数的拟压缩的公共不动点结果[J]. 数学季刊, 2018, 33(1): 1-16.
[2]	朴勇杰, 金哲植. TVS-值锥度量空间上具有拟Lipschitz条件的映射族的公共不动点[J]. 数学季刊, 2016, 31(4): 390-398.
[3]	张屹. 锥对称空间中的不动点定理[J]. 数学季刊, 2015, 30(2): 280-286.
[4]	朴勇杰, 李春花. 具有凸性的锥度量空间中可数个非自映射的公共不动点[J]. 数学季刊, 2014, 29(2): 221-230.
[5]	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.
[6]	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.
[7]	吴健荣, 柳海燕. Φ型压缩集值映射列的公共不动点定理[J]. 数学季刊, 2009, 24(4): 504-510.
[8]	梁俊奇, 张志宏, 赵玲. 凸度量空间中单值和集值映象的公共不动点定理[J]. 数学季刊, 2003, 18(3): 264-270.

b₂-度量空间中一对广义循环收缩映射的公共不动点定理

Common Fixed Point Theorems for Generalized Cyclic Contraction Pairs in 62-metric Spaces

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