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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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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spelling	doaj-bf2e8c5819a34b4a93febfd8d89bd4f12020-11-25T00:03:38ZengSpringerOpenFixed Point Theory and Applications1687-18122017-11-012017111310.1186/s13663-017-0611-2Nadler’s fixed point theorem in ν-generalized metric spacesTomonari Suzuki0Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of TechnologyAbstract 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 Subrahmanyam’s fixed point theorems in the space.http://link.springer.com/article/10.1186/s13663-017-0611-2Nadler’s fixed point theoremν-generalized metric spacecompletenessCaristi’s fixed point theoremSubrahmanyam’s fixed point theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Tomonari Suzuki
spellingShingle	Tomonari Suzuki Nadler’s fixed point theorem in ν-generalized metric spaces Fixed Point Theory and Applications Nadler’s fixed point theorem ν-generalized metric space completeness Caristi’s fixed point theorem Subrahmanyam’s fixed point theorem
author_facet	Tomonari Suzuki
author_sort	Tomonari Suzuki
title	Nadler’s fixed point theorem in ν-generalized metric spaces
title_short	Nadler’s fixed point theorem in ν-generalized metric spaces
title_full	Nadler’s fixed point theorem in ν-generalized metric spaces
title_fullStr	Nadler’s fixed point theorem in ν-generalized metric spaces
title_full_unstemmed	Nadler’s fixed point theorem in ν-generalized metric spaces
title_sort	nadler’s fixed point theorem in ν-generalized metric spaces
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1812
publishDate	2017-11-01
description	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 Subrahmanyam’s fixed point theorems in the space.
topic	Nadler’s fixed point theorem ν-generalized metric space completeness Caristi’s fixed point theorem Subrahmanyam’s fixed point theorem
url	http://link.springer.com/article/10.1186/s13663-017-0611-2
work_keys_str_mv	AT tomonarisuzuki nadlersfixedpointtheoreminngeneralizedmetricspaces
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Nadler’s fixed point theorem in ν-generalized metric spaces

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