Fixed points of terminating mappings in partial metric spaces

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作者
Umar Yusuf Batsari
Poom Kumam
Sompong Dhompongsa
机构
[1] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science
[2] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTTFixed Point Theory and Applications Research Group, Theoretical and Computational Science Center(TaCS), Science Laboratory Building
[3] Hassan Usman Katsina Polytechnic,Department of Mathematics and Statistics, College of Science and Technology
关键词
Terminating mapping; identifying property; regularity property; partial metric, and globally stable fixed point; 47H09; 47H10;
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摘要
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.
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