Nadler’s fixed point theorem in ν-generalized metric spaces

Nadler’s fixed point theorem in ν-generalized metric spaces

Abstract We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space. In particular, we study the completeness of the space. We also improve Caristi’s and Subrahm...

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Bibliographic Details
Main Author: Tomonari Suzuki
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Fixed Point Theory and Applications
Subjects:
Nadler’s fixed point theorem
ν-generalized metric space
completeness
Caristi’s fixed point theorem
Subrahmanyam’s fixed point theorem
Online Access:http://link.springer.com/article/10.1186/s13663-017-0611-2

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http://link.springer.com/article/10.1186/s13663-017-0611-2

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