Some variants of Ćirić’s multi-valued contraction principle

In this article, a study of the fixed point problem for Ćirić type multi-valued operators is presented. More precisely, some variants ofĆirić’s contraction principle for multi-valued operators, as well as a strict fixed point principle forĆirić type multi-valued will be given.

Bibliographic Details
Main Authors: Alecsa Cristian Daniel, Petruşel Adrian
Format: Article
Language:English
Published: Sciendo 2019-06-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.2478/awutm-2019-0004
id doaj-f69e513f74c348a49b3aabb86613c98e
record_format Article
spelling doaj-f69e513f74c348a49b3aabb86613c98e2021-09-06T19:41:29ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072019-06-01571234210.2478/awutm-2019-0004awutm-2019-0004Some variants of Ćirić’s multi-valued contraction principleAlecsa Cristian Daniel0Petruşel Adrian1Department of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, nr. 1, Cluj-Napoca, Romania; Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Fântânele Street nr. 57, Cluj-Napoca, RomaniaDepartment of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, nr. 1, Cluj-Napoca, Romania; Academy of Romanian Scientists Independenţei Street, nr. 54Bucharest, RomaniaIn this article, a study of the fixed point problem for Ćirić type multi-valued operators is presented. More precisely, some variants ofĆirić’s contraction principle for multi-valued operators, as well as a strict fixed point principle forĆirić type multi-valued will be given.https://doi.org/10.2478/awutm-2019-0004metric spacesfixed pointćirić type generalized contractionmulti-valued weakly picard operatordata dependenceulam-hyers stabilitystrict fixed pointostrowski propertytopological properties
collection DOAJ
language English
format Article
sources DOAJ
author Alecsa Cristian Daniel
Petruşel Adrian
spellingShingle Alecsa Cristian Daniel
Petruşel Adrian
Some variants of Ćirić’s multi-valued contraction principle
Annals of the West University of Timisoara: Mathematics and Computer Science
metric spaces
fixed point
ćirić type generalized contraction
multi-valued weakly picard operator
data dependence
ulam-hyers stability
strict fixed point
ostrowski property
topological properties
author_facet Alecsa Cristian Daniel
Petruşel Adrian
author_sort Alecsa Cristian Daniel
title Some variants of Ćirić’s multi-valued contraction principle
title_short Some variants of Ćirić’s multi-valued contraction principle
title_full Some variants of Ćirić’s multi-valued contraction principle
title_fullStr Some variants of Ćirić’s multi-valued contraction principle
title_full_unstemmed Some variants of Ćirić’s multi-valued contraction principle
title_sort some variants of ćirić’s multi-valued contraction principle
publisher Sciendo
series Annals of the West University of Timisoara: Mathematics and Computer Science
issn 1841-3307
publishDate 2019-06-01
description In this article, a study of the fixed point problem for Ćirić type multi-valued operators is presented. More precisely, some variants ofĆirić’s contraction principle for multi-valued operators, as well as a strict fixed point principle forĆirić type multi-valued will be given.
topic metric spaces
fixed point
ćirić type generalized contraction
multi-valued weakly picard operator
data dependence
ulam-hyers stability
strict fixed point
ostrowski property
topological properties
url https://doi.org/10.2478/awutm-2019-0004
work_keys_str_mv AT alecsacristiandaniel somevariantsofciricsmultivaluedcontractionprinciple
AT petruseladrian somevariantsofciricsmultivaluedcontractionprinciple
_version_ 1717766176000442368