On Istrăţescu Type Contractions in <i>b</i>-Metric Spaces

On Istrăţescu Type Contractions in <i>b</i>-Metric Spaces

In this paper, we introduce the notions of <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-almost Istrăt̨escu contraction of type <i>E</i> and of type <inline-form...

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Main Authors: Erdal Karapınar, Andreea Fulga, Adrian Petruşel
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Mathematics
Subjects:
istrăt̨escu contraction
fixed point
b-metric space
Online Access:https://www.mdpi.com/2227-7390/8/3/388
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spelling doaj-3dc6372f356f409997db60b23390436f2020-11-25T02:01:59ZengMDPI AGMathematics2227-73902020-03-018338810.3390/math8030388math8030388On Istrăţescu Type Contractions in <i>b</i>-Metric SpacesErdal Karapınar0Andreea Fulga1Adrian Petruşel2Department of Mathematics, Çankaya University, Etimesgut, 06790 Ankara, TurkeyDepartment of Mathematics and Computer Science, Transilvania University of Brasov, B-dul Eroilor nr.29, 500036 Brasov, RomaniaFaculty of Mathematics and Computer Science, RomaniaBabeş-Bolyai University, Strada Mihail Kogălniceanu 1, 400000 Cluj-Napoca, RomaniaIn this paper, we introduce the notions of <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-almost Istrăt̨escu contraction of type <i>E</i> and of type <inline-formula> <math display="inline"> <semantics> <msup> <mrow> <mi>E</mi> </mrow> <mo>&#8727;</mo> </msup> </semantics> </math> </inline-formula> in the setting of <i>b</i>-metric space. The existence of fixed points for such mappings is investigated and some examples to illustrate the validity of the main results are considered. In the last part of the paper, we list some immediate consequences.https://www.mdpi.com/2227-7390/8/3/388istrăt̨escu contractionfixed pointb-metric space
collection DOAJ
language English
format Article
sources DOAJ
author Erdal Karapınar
Andreea Fulga
Adrian Petruşel
spellingShingle Erdal Karapınar
Andreea Fulga
Adrian Petruşel
On Istrăţescu Type Contractions in <i>b</i>-Metric Spaces
Mathematics
istrăt̨escu contraction
fixed point
b-metric space
author_facet Erdal Karapınar
Andreea Fulga
Adrian Petruşel
author_sort Erdal Karapınar
title On Istrăţescu Type Contractions in <i>b</i>-Metric Spaces
title_short On Istrăţescu Type Contractions in <i>b</i>-Metric Spaces
title_full On Istrăţescu Type Contractions in <i>b</i>-Metric Spaces
title_fullStr On Istrăţescu Type Contractions in <i>b</i>-Metric Spaces
title_full_unstemmed On Istrăţescu Type Contractions in <i>b</i>-Metric Spaces
title_sort on istrăţescu type contractions in <i>b</i>-metric spaces
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-03-01
description In this paper, we introduce the notions of <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-almost Istrăt̨escu contraction of type <i>E</i> and of type <inline-formula> <math display="inline"> <semantics> <msup> <mrow> <mi>E</mi> </mrow> <mo>&#8727;</mo> </msup> </semantics> </math> </inline-formula> in the setting of <i>b</i>-metric space. The existence of fixed points for such mappings is investigated and some examples to illustrate the validity of the main results are considered. In the last part of the paper, we list some immediate consequences.
topic istrăt̨escu contraction
fixed point
b-metric space
url https://www.mdpi.com/2227-7390/8/3/388
work_keys_str_mv AT erdalkarapınar onistratescutypecontractionsinibimetricspaces
AT andreeafulga onistratescutypecontractionsinibimetricspaces
AT adrianpetrusel onistratescutypecontractionsinibimetricspaces
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