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 - <p style="text-align: justify;">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.</p>