Fixed points of terminating mappings in partial metric spaces

In this paper, we introduce a mapping called a terminating mapping. The existence of a unique, and globally stable fixed point of terminating mappings were established in partial metric spaces. Also, some application theorems in the space of probability density functions and example on quantum opera...

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Bibliographic Details
Published in:Journal of fixed point theory and applications 2019-03, Vol.21 (1), p.1-20, Article 39
Main Authors: Batsari, Umar Yusuf, Kumam, Poom, Dhompongsa, Sompong
Format: Article
Language:English
Subjects:
Analysis
Mapping
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Probability density functions
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Summary:In this paper, we introduce a mapping called a terminating mapping. The existence of a unique, and globally stable fixed point of terminating mappings were established in partial metric spaces. Also, some application theorems in the space of probability density functions and example on quantum operations were presented. The results obtained in this paper, extend, and improve some existing results in the literature.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-019-0672-4