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Volume 34, Issue 1
Unique Common Fixed Points for Two Weakly $C^*$-Contractive Mappings on Partially Ordered 2-Metric Spaces

Yongjie Piao

DOI: 10.13447/j.1674-5647.2018.01.08

Commun. Math. Res., 34 (2018), pp. 77-88.

Published online: 2019-12

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  • Abstract

In this paper, we give existence theorems of common fixed points for two mappings with a weakly $C^*$-contractive condition on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point.

  • Keywords

2-metric space, weak $C^*$-contraction, common fixed point

  • AMS Subject Headings

47H05, 47H10, 54E40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

sxpyj@ybu.edu.cn (Yongjie Piao)

  • BibTex
  • RIS
  • TXT
@Article{CMR-34-77, author = {Piao , Yongjie}, title = {Unique Common Fixed Points for Two Weakly $C^*$-Contractive Mappings on Partially Ordered 2-Metric Spaces}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {1}, pages = {77--88}, abstract = {

In this paper, we give existence theorems of common fixed points for two mappings with a weakly $C^*$-contractive condition on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.01.08}, url = {http://global-sci.org/intro/article_detail/cmr/13506.html} }
TY - JOUR T1 - Unique Common Fixed Points for Two Weakly $C^*$-Contractive Mappings on Partially Ordered 2-Metric Spaces AU - Piao , Yongjie JO - Communications in Mathematical Research VL - 1 SP - 77 EP - 88 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.01.08 UR - https://global-sci.org/intro/article_detail/cmr/13506.html KW - 2-metric space, weak $C^*$-contraction, common fixed point AB -

In this paper, we give existence theorems of common fixed points for two mappings with a weakly $C^*$-contractive condition on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point.

Piao , Yongjie. (2019). Unique Common Fixed Points for Two Weakly $C^*$-Contractive Mappings on Partially Ordered 2-Metric Spaces. Communications in Mathematical Research . 34 (1). 77-88. doi:10.13447/j.1674-5647.2018.01.08
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