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Volume 33, Issue 4
Points of Coincidence and Common Fixed Points for II-Expansive Mappings on Complex Valued Metric Spaces

Yongjie Piao

DOI: 10.4208/ata.2017.v33.n4.6

Anal. Theory Appl., 33 (2017), pp. 366-374.

Published online: 2017-11

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  • Abstract

We use the two mappings satisfying II-expansive conditions on complex valued metric spaces to construct the convergent sequences and prove that the unique limit of the sequences is the point of coincidence or common fixed point of the two mappings. Also, we discuss the uniqueness of points of coincidence or common fixed points and give the existence theorems of unique fixed points. The obtained results generalize and improve the corresponding conclusions in references.

  • Keywords

Complex valued metric space, II-expansive mapping, Cauchy sequence, point of coincidence, common fixed point.

  • AMS Subject Headings

47H05, 47H10, 54E40, 54H25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-33-366, author = {Yongjie Piao}, title = {Points of Coincidence and Common Fixed Points for II-Expansive Mappings on Complex Valued Metric Spaces}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {4}, pages = {366--374}, abstract = {

We use the two mappings satisfying II-expansive conditions on complex valued metric spaces to construct the convergent sequences and prove that the unique limit of the sequences is the point of coincidence or common fixed point of the two mappings. Also, we discuss the uniqueness of points of coincidence or common fixed points and give the existence theorems of unique fixed points. The obtained results generalize and improve the corresponding conclusions in references.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n4.6}, url = {http://global-sci.org/intro/article_detail/ata/10703.html} }
TY - JOUR T1 - Points of Coincidence and Common Fixed Points for II-Expansive Mappings on Complex Valued Metric Spaces AU - Yongjie Piao JO - Analysis in Theory and Applications VL - 4 SP - 366 EP - 374 PY - 2017 DA - 2017/11 SN - 33 DO - http://doi.org/10.4208/ata.2017.v33.n4.6 UR - https://global-sci.org/intro/article_detail/ata/10703.html KW - Complex valued metric space, II-expansive mapping, Cauchy sequence, point of coincidence, common fixed point. AB -

We use the two mappings satisfying II-expansive conditions on complex valued metric spaces to construct the convergent sequences and prove that the unique limit of the sequences is the point of coincidence or common fixed point of the two mappings. Also, we discuss the uniqueness of points of coincidence or common fixed points and give the existence theorems of unique fixed points. The obtained results generalize and improve the corresponding conclusions in references.

Yongjie Piao. (2017). Points of Coincidence and Common Fixed Points for II-Expansive Mappings on Complex Valued Metric Spaces. Analysis in Theory and Applications. 33 (4). 366-374. doi:10.4208/ata.2017.v33.n4.6
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