非完备<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mi>b</mi></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3D97E140-2901-4021-A0FD-C039A00F863D-M001.jpg"><?fx-imagestate width="3.30200005" height="5.24933338"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3D97E140-2901-4021-A0FD-C039A00F863D-M001c.jpg"><?fx-imagestate width="3.30200005" height="5.24933338"?></graphic></alternatives></inline-formula>-度量空间上四个非连续映射具有唯一公共不动点的定理

朴勇杰

doi:10.13471/j.cnki.acta.snus.2020.02.27.2020A008

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-度量空间上四个非连续映射具有唯一公共不动点的定理

研究论文 | 更新时间：2023-11-01

- 非完备 $b$ -度量空间上四个非连续映射具有唯一公共不动点的定理
- Theorems on the unique common fixed point for four non-continuous self-mappings on non-complete b-metric spaces
- 中山大学学报(自然科学版) 2021年60卷第4期页码：146-153
- 作者机构：
  
  延边大学理学院数学系，吉林延吉133002
- 作者简介：
  
  朴勇杰（1962年生），男；研究方向：非线性分析和不动点理论；E-mail：sxpyj@ybu.edu.cn
- 基金信息：
  
  国家自然科学基金(11361064;11761072)
- DOI：10.13471/j.cnki.acta.snus.2020.02.27.2020A008
  中图分类号： O177.3;O189.11
- 纸质出版日期：2021-07-25，
  
  网络出版日期：2021-01-06，
  
  收稿日期：2020-02-27，
  
  录用日期：2020-09-18
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朴勇杰.非完备b-度量空间上四个非连续映射具有唯一公共不动点的定理[J].中山大学学报(自然科学版),2021,60(04):146-153.

PIAO Yongjie.Theorems on the unique common fixed point for four non-continuous self-mappings on non-complete b-metric spaces[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2021,60(04):146-153.
朴勇杰.非完备b-度量空间上四个非连续映射具有唯一公共不动点的定理[J].中山大学学报(自然科学版),2021,60(04):146-153. DOI： 10.13471/j.cnki.acta.snus.2020.02.27.2020A008.

PIAO Yongjie.Theorems on the unique common fixed point for four non-continuous self-mappings on non-complete b-metric spaces[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2021,60(04):146-153. DOI： 10.13471/j.cnki.acta.snus.2020.02.27.2020A008.

非完备

b

-度量空间上四个非连续映射具有唯一公共不动点的定理

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摘要

给出了在非完备的

-度量空间上满足

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476440&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476439&type=

2.03200006

2.87866688

-隐式压缩条件或线性压缩条件的4个非连续的且满足弱相容条件的自映射具有唯一公共不动点的存在定理。所得结果推广和改进了许多相应的公共不动点定理。最后，给出实例支撑本文的主要结果。

Abstract

Several unique common fixed point theorems for four non-continuous and weakly compatible self-mappings satisfying

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476449&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476432&type=

2.37066650

3.38666677

-implicit contractive condition or linear contractive condition are given on non-complete

-metric space. The obtained results generalize and improve many corresponding common fixed point theorems. Finally， One of the main results is supported with a relevant example.

关键词

公共不动点弱相容b-度量空间<math id="M4"><mi>ϕ</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476440&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476439&type=2.032000062.87866688-隐式压缩

Keywords

common fixed pointweakly compatible<math id="M5"><mi>b</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476513&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476523&type=1.693333392.62466669-metric space<math id="M6"><mi>ϕ</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476449&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49476432&type=2.370666503.38666677-implicit contraction

references

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AKKOUCHI M. Common fixed point theorems for two selfmappings of a <math id="M403"><mi>b</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49479192&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49479222&type=1.439333442.28600001-metric space under a implicit relation ［J］. Hacettepe Journal of Mathematics and Statistics， 2011， 40（6）： 805-810.

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非完备b-度量空间上四个非连续映射具有唯一公共不动点的定理

Theorems on the unique common fixed point for four non-continuous self-mappings on non-complete b-metric spaces

DOI：10.13471/j.cnki.acta.snus.2020.02.27.2020A008

摘要

Abstract

关键词

Keywords

references

非完备 $b$ -度量空间上四个非连续映射具有唯一公共不动点的定理