Points of Coincidence and Common Fixed Points for II-Expansive Mappings on Complex Valued Metric Spaces
Year: 2017
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2017.v33.n4.6
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 4 : pp. 366–374
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Complex valued metric space II-expansive mapping Cauchy sequence point of coincidence common fixed point.