Sehgal Type Contractions on Dislocated Spaces

Sehgal Type Contractions on Dislocated Spaces

In this paper, we investigate the contractive type inequalities for the iteration of the mapping at a given point in the setting of dislocated metric space. We consider an example to illustrate the validity of the given result. Further, as an application, we propose a solution for a boundary value p...

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Main Authors: Badr Alqahtani, Andreea Fulga, Erdal Karapınar, Panda Sumati Kumari
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
quasi-metric spaces
fixed point
self-mappings
Online Access:https://www.mdpi.com/2227-7390/7/2/153
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spelling doaj-288923bd32b44545b813407d2e55f4f02020-11-25T00:27:20ZengMDPI AGMathematics2227-73902019-02-017215310.3390/math7020153math7020153Sehgal Type Contractions on Dislocated SpacesBadr Alqahtani0Andreea Fulga1Erdal Karapınar2Panda Sumati Kumari3Department of Mathematics, King Saud University, 11451 Riyadh, Saudi ArabiaDepartment of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500091 Brasov, RomaniaDepartment of Medical Research, China Medical University, Taichung 40402, TaiwanDepartment of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Rajam-532127, IndiaIn this paper, we investigate the contractive type inequalities for the iteration of the mapping at a given point in the setting of dislocated metric space. We consider an example to illustrate the validity of the given result. Further, as an application, we propose a solution for a boundary value problem of the second order differential equation.https://www.mdpi.com/2227-7390/7/2/153quasi-metric spacesfixed pointself-mappings
collection DOAJ
language English
format Article
sources DOAJ
author Badr Alqahtani
Andreea Fulga
Erdal Karapınar
Panda Sumati Kumari
spellingShingle Badr Alqahtani
Andreea Fulga
Erdal Karapınar
Panda Sumati Kumari
Sehgal Type Contractions on Dislocated Spaces
Mathematics
quasi-metric spaces
fixed point
self-mappings
author_facet Badr Alqahtani
Andreea Fulga
Erdal Karapınar
Panda Sumati Kumari
author_sort Badr Alqahtani
title Sehgal Type Contractions on Dislocated Spaces
title_short Sehgal Type Contractions on Dislocated Spaces
title_full Sehgal Type Contractions on Dislocated Spaces
title_fullStr Sehgal Type Contractions on Dislocated Spaces
title_full_unstemmed Sehgal Type Contractions on Dislocated Spaces
title_sort sehgal type contractions on dislocated spaces
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-02-01
description In this paper, we investigate the contractive type inequalities for the iteration of the mapping at a given point in the setting of dislocated metric space. We consider an example to illustrate the validity of the given result. Further, as an application, we propose a solution for a boundary value problem of the second order differential equation.
topic quasi-metric spaces
fixed point
self-mappings
url https://www.mdpi.com/2227-7390/7/2/153
work_keys_str_mv AT badralqahtani sehgaltypecontractionsondislocatedspaces
AT andreeafulga sehgaltypecontractionsondislocatedspaces
AT erdalkarapınar sehgaltypecontractionsondislocatedspaces
AT pandasumatikumari sehgaltypecontractionsondislocatedspaces
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