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

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...

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Main Authors: Pradip Patle, Deepesh Patel, Hassen Aydi, Stojan Radenović
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
(common) fixed point
Hausdorff distance
<i>α</i>-admissibility
<i>α</i>-complete symmetric spaces
probabilistic spaces
Online Access:https://www.mdpi.com/2227-7390/7/2/144
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spelling doaj-ed23354ae0e94de89eaede6c9b069f8f2020-11-25T01:28:21ZengMDPI 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
collection DOAJ
language English
format Article
sources DOAJ
author Pradip Patle
Deepesh Patel
Hassen Aydi
Stojan Radenović
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
author_facet Pradip Patle
Deepesh Patel
Hassen Aydi
Stojan Radenović
author_sort Pradip Patle
title 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_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_sort on <i>h</i><sup>+</sup>type multivalued contractions and applications in symmetric and probabilistic spaces
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-02-01
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.
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
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