Non-Unique Fixed Point Theorems in Modular Metric Spaces

Non-Unique Fixed Point Theorems in Modular Metric Spaces

This paper is devoted to the study of Ćirić-type non-unique fixed point results in modular metric spaces. We obtain various theorems about a fixed point and periodic points for a self-map on modular spaces which are not necessarily continuous and satisfy certain contractive conditions. Our results e...

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Main Author: Sharafat Hussain
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Symmetry
Subjects:
<i>f</i>-orbitally <i>ω</i>-complete
strong Ćirić type <i>ω</i>-contraction
strong Pachpatte type <i>ω</i>-contraction
Online Access:https://www.mdpi.com/2073-8994/11/4/549
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spelling doaj-15393a5b63614882a56fb3b49b5858a32020-11-25T00:35:37ZengMDPI AGSymmetry2073-89942019-04-0111454910.3390/sym11040549sym11040549Non-Unique Fixed Point Theorems in Modular Metric SpacesSharafat Hussain0Department of Mathematics, Quaid-i-Azam University Islamabad, Islamabad 45320, PakistanThis paper is devoted to the study of Ćirić-type non-unique fixed point results in modular metric spaces. We obtain various theorems about a fixed point and periodic points for a self-map on modular spaces which are not necessarily continuous and satisfy certain contractive conditions. Our results extend the results of Ćirić, Pachpatte, and Achari in modular metric spaces.https://www.mdpi.com/2073-8994/11/4/549<i>f</i>-orbitally <i>ω</i>-completestrong Ćirić type <i>ω</i>-contractionstrong Pachpatte type <i>ω</i>-contraction
collection DOAJ
language English
format Article
sources DOAJ
author Sharafat Hussain
spellingShingle Sharafat Hussain
Non-Unique Fixed Point Theorems in Modular Metric Spaces
Symmetry
<i>f</i>-orbitally <i>ω</i>-complete
strong Ćirić type <i>ω</i>-contraction
strong Pachpatte type <i>ω</i>-contraction
author_facet Sharafat Hussain
author_sort Sharafat Hussain
title Non-Unique Fixed Point Theorems in Modular Metric Spaces
title_short Non-Unique Fixed Point Theorems in Modular Metric Spaces
title_full Non-Unique Fixed Point Theorems in Modular Metric Spaces
title_fullStr Non-Unique Fixed Point Theorems in Modular Metric Spaces
title_full_unstemmed Non-Unique Fixed Point Theorems in Modular Metric Spaces
title_sort non-unique fixed point theorems in modular metric spaces
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-04-01
description This paper is devoted to the study of Ćirić-type non-unique fixed point results in modular metric spaces. We obtain various theorems about a fixed point and periodic points for a self-map on modular spaces which are not necessarily continuous and satisfy certain contractive conditions. Our results extend the results of Ćirić, Pachpatte, and Achari in modular metric spaces.
topic <i>f</i>-orbitally <i>ω</i>-complete
strong Ćirić type <i>ω</i>-contraction
strong Pachpatte type <i>ω</i>-contraction
url https://www.mdpi.com/2073-8994/11/4/549
work_keys_str_mv AT sharafathussain nonuniquefixedpointtheoremsinmodularmetricspaces
_version_ 1725308435191300096

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