A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces

A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces

Abstract In 1980, Hegedüs and Szilágyi proved some fixed point theorem in complete metric spaces. Introducing a new contractive condition, we generalize Hegedüs-Szilágyi’s fixed point theorem. We discuss the relationship between the new contractive condition and other contractive conditions. We also...

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Bibliographic Details
Main Author: Tomonari Suzuki
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Fixed Point Theory and Applications
Subjects:
Hegedüs-Szilágyi’s fixed point theorem
complete metric space
Online Access:http://link.springer.com/article/10.1186/s13663-017-0625-9
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spelling doaj-4ab0cbb67477433aac218d43b06ed8562020-11-24T23:39:04ZengSpringerOpenFixed Point Theory and Applications1687-18122018-01-012018111010.1186/s13663-017-0625-9A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spacesTomonari Suzuki0Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of TechnologyAbstract In 1980, Hegedüs and Szilágyi proved some fixed point theorem in complete metric spaces. Introducing a new contractive condition, we generalize Hegedüs-Szilágyi’s fixed point theorem. We discuss the relationship between the new contractive condition and other contractive conditions. We also show that we cannot extend Hegedüs-Szilágyi’s fixed point theorem to Meir-Keeler type.http://link.springer.com/article/10.1186/s13663-017-0625-9Hegedüs-Szilágyi’s fixed point theoremcomplete metric space
collection DOAJ
language English
format Article
sources DOAJ
author Tomonari Suzuki
spellingShingle Tomonari Suzuki
A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces
Fixed Point Theory and Applications
Hegedüs-Szilágyi’s fixed point theorem
complete metric space
author_facet Tomonari Suzuki
author_sort Tomonari Suzuki
title A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces
title_short A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces
title_full A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces
title_fullStr A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces
title_full_unstemmed A generalization of Hegedüs-Szilágyi’s fixed point theorem in complete metric spaces
title_sort generalization of hegedüs-szilágyi’s fixed point theorem in complete metric spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1812
publishDate 2018-01-01
description Abstract In 1980, Hegedüs and Szilágyi proved some fixed point theorem in complete metric spaces. Introducing a new contractive condition, we generalize Hegedüs-Szilágyi’s fixed point theorem. We discuss the relationship between the new contractive condition and other contractive conditions. We also show that we cannot extend Hegedüs-Szilágyi’s fixed point theorem to Meir-Keeler type.
topic Hegedüs-Szilágyi’s fixed point theorem
complete metric space
url http://link.springer.com/article/10.1186/s13663-017-0625-9
work_keys_str_mv AT tomonarisuzuki ageneralizationofhegedusszilagyisfixedpointtheoremincompletemetricspaces
AT tomonarisuzuki generalizationofhegedusszilagyisfixedpointtheoremincompletemetricspaces
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