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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Bibliographic Details
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
Description
Summary: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.
ISSN:2227-7390

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