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Quasi ( s, r )-Contractive Multi-Valued Operators and Related Fixed Point Theorems

Ei Ei Nyein, Dianlu Tian and Aung Khaing Zaw
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Ei Ei Nyein: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Dianlu Tian: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Aung Khaing Zaw: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Mathematics, 2020, vol. 8, issue 1, 1-11

Abstract: This paper gives the new concepts of quasi ( s , r ) -contractive multi-valued operators and establishes some related fixed point results for such operators. In addition, an application to certain functional equations arising from dynamic programming is given to illustrate the usage of the obtained results.

Keywords: complete metric space; quasi ( s , r )-contractive operator; multi-valued operator; fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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