Several Theorems on Single and Set-Valued Prešić Type Mappings

In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost <i>F</i>-contractive mapping and set-valued Prešić type almost <i>F</i>-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, w...

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Main Authors: Seher Sultan Yeilkaya, Cafer Aydın
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/9/1616
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spelling doaj-45474c34b6bd490bb6b4a0ac86e8e4c92020-11-25T03:55:13ZengMDPI AGMathematics2227-73902020-09-0181616161610.3390/math8091616Several Theorems on Single and Set-Valued Prešić Type MappingsSeher Sultan Yeilkaya0Cafer Aydın1Institute of Science and Technology, Kahramanmaraş Sütçü İmam Uni̇versi̇ty, Kahramanmaraş 46040, TurkeyDepartment of Mathematics, Kahramanmaraş Sütçü İmam Uni̇versi̇ty, Kahramanmaraş 46040, TurkeyIn this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost <i>F</i>-contractive mapping and set-valued Prešić type almost <i>F</i>-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, we give examples to show that our main theorems are applicable. These examples show that the new class of set-valued Prešić type almost <i>F</i>-contractive operators is not included in Prešić type class of set-valued Prešić type almost contractive operators.https://www.mdpi.com/2227-7390/8/9/1616fixed pointset-valued Prešić type almost contractivePrešić type almost F-contractiveset-valued Prešić type almost F-contractive
collection DOAJ
language English
format Article
sources DOAJ
author Seher Sultan Yeilkaya
Cafer Aydın
spellingShingle Seher Sultan Yeilkaya
Cafer Aydın
Several Theorems on Single and Set-Valued Prešić Type Mappings
Mathematics
fixed point
set-valued Prešić type almost contractive
Prešić type almost F-contractive
set-valued Prešić type almost F-contractive
author_facet Seher Sultan Yeilkaya
Cafer Aydın
author_sort Seher Sultan Yeilkaya
title Several Theorems on Single and Set-Valued Prešić Type Mappings
title_short Several Theorems on Single and Set-Valued Prešić Type Mappings
title_full Several Theorems on Single and Set-Valued Prešić Type Mappings
title_fullStr Several Theorems on Single and Set-Valued Prešić Type Mappings
title_full_unstemmed Several Theorems on Single and Set-Valued Prešić Type Mappings
title_sort several theorems on single and set-valued prešić type mappings
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-09-01
description In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost <i>F</i>-contractive mapping and set-valued Prešić type almost <i>F</i>-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, we give examples to show that our main theorems are applicable. These examples show that the new class of set-valued Prešić type almost <i>F</i>-contractive operators is not included in Prešić type class of set-valued Prešić type almost contractive operators.
topic fixed point
set-valued Prešić type almost contractive
Prešić type almost F-contractive
set-valued Prešić type almost F-contractive
url https://www.mdpi.com/2227-7390/8/9/1616
work_keys_str_mv AT sehersultanyeilkaya severaltheoremsonsingleandsetvaluedpresictypemappings
AT caferaydın severaltheoremsonsingleandsetvaluedpresictypemappings
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