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Fixed point theorem between cone metric space and quasi-cone metric...
by Abdullah Al-Yaari, Hamzah Sakidin Yousif Alyousifi, Qasem Al-Tashi
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This study involves new notions of continuity of mapping
between quasi-cone
metrics spaces (QCMSs), cone metric spaces (CMSs), and
vice versa. The
relation between all notions of continuity were
thoroughly studied and
supported with the help of examples. In addition, these
new continuities were
compared with various types of continuities of mapping
between two QCMSs.
The continuity types are -continuous, -continuous, -
continuous, and
-continuous. The results demonstrated that the new
notions of continuity
could be generalized to the continuity of mapping between
two QCMSs. It also
showed a fixed point for this continuity map between a
complete Hausdorff
CMS and QCMS. Overall, this study supports recent
research results.
Date Published: 2022-10-14 06:26:34
Identifier: fixed-point-theorem-between-cone-metric-space-and-quasi-co…
Item Size: 9079957
Media Type: texts
# Topics
Cone metric spaces second
Fixed point theorem
Quasi-cone metric spaces
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