ON <i>H</i><sup>+</sup>Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces

The main idea in this article is to establish some fixed and common fixed point results for multivalued <inline-formula> <math display="inline"> <semantics> <msup> <mi mathvariant="script">H</mi> <mo>+</mo> </msup> </semant...

Full description

Bibliographic Details
Main Authors: Pradip Patle, Deepesh Patel, Hassen Aydi, Stojan Radenović
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/2/144
_version_ 1818852229559353344
author Pradip Patle
Deepesh Patel
Hassen Aydi
Stojan Radenović
author_facet Pradip Patle
Deepesh Patel
Hassen Aydi
Stojan Radenović
author_sort Pradip Patle
collection DOAJ
description The main idea in this article is to establish some fixed and common fixed point results for multivalued <inline-formula> <math display="inline"> <semantics> <msup> <mi mathvariant="script">H</mi> <mo>+</mo> </msup> </semantics> </math> </inline-formula>-type contraction mappings in symmetric spaces. New results are accompanied with illustrative examples. An application of the obtained results to probabilistic spaces is presented.
first_indexed 2024-12-19T07:17:36Z
format Article
id doaj.art-ed23354ae0e94de89eaede6c9b069f8f
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-12-19T07:17:36Z
publishDate 2019-02-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-ed23354ae0e94de89eaede6c9b069f8f2022-12-21T20:31:02ZengMDPI AGMathematics2227-73902019-02-017214410.3390/math7020144math7020144ON <i>H</i><sup>+</sup>Type Multivalued Contractions and Applications in Symmetric and Probabilistic SpacesPradip Patle0Deepesh Patel1Hassen Aydi2Stojan Radenović3Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, IndiaDepartment of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, IndiaDepartment of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, Industrial Jubail 31961, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaThe main idea in this article is to establish some fixed and common fixed point results for multivalued <inline-formula> <math display="inline"> <semantics> <msup> <mi mathvariant="script">H</mi> <mo>+</mo> </msup> </semantics> </math> </inline-formula>-type contraction mappings in symmetric spaces. New results are accompanied with illustrative examples. An application of the obtained results to probabilistic spaces is presented.https://www.mdpi.com/2227-7390/7/2/144(common) fixed pointHausdorff distance<i>α</i>-admissibility<i>α</i>-complete symmetric spacesprobabilistic spaces
spellingShingle Pradip Patle
Deepesh Patel
Hassen Aydi
Stojan Radenović
ON <i>H</i><sup>+</sup>Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces
Mathematics
(common) fixed point
Hausdorff distance
<i>α</i>-admissibility
<i>α</i>-complete symmetric spaces
probabilistic spaces
title ON <i>H</i><sup>+</sup>Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces
title_full ON <i>H</i><sup>+</sup>Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces
title_fullStr ON <i>H</i><sup>+</sup>Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces
title_full_unstemmed ON <i>H</i><sup>+</sup>Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces
title_short ON <i>H</i><sup>+</sup>Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces
title_sort on i h i sup sup type multivalued contractions and applications in symmetric and probabilistic spaces
topic (common) fixed point
Hausdorff distance
<i>α</i>-admissibility
<i>α</i>-complete symmetric spaces
probabilistic spaces
url https://www.mdpi.com/2227-7390/7/2/144
work_keys_str_mv AT pradippatle onihisupsuptypemultivaluedcontractionsandapplicationsinsymmetricandprobabilisticspaces
AT deepeshpatel onihisupsuptypemultivaluedcontractionsandapplicationsinsymmetricandprobabilisticspaces
AT hassenaydi onihisupsuptypemultivaluedcontractionsandapplicationsinsymmetricandprobabilisticspaces
AT stojanradenovic onihisupsuptypemultivaluedcontractionsandapplicationsinsymmetricandprobabilisticspaces