Fixed points of multivalued contractions via generalized class of simulation functions

In this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in α-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well known fixed point results of the literature. Some examples and consequenc...

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Main Author: Deepesh Kumar Patel
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38184
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author Deepesh Kumar Patel
author_facet Deepesh Kumar Patel
author_sort Deepesh Kumar Patel
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description In this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in α-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well known fixed point results of the literature. Some examples and consequence are given to  illustrate the usability of the theory.
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spelling doaj.art-289782f666f642a0af0fcadbfea77dd42023-11-09T18:17:28ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882019-02-0138310.5269/bspm.v38i3.38184Fixed points of multivalued contractions via generalized class of simulation functionsDeepesh Kumar Patel0Visvesvaraya National Institute of Technology Department of MathematicsIn this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in α-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well known fixed point results of the literature. Some examples and consequence are given to  illustrate the usability of the theory.https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38184Fixed pointsmultivalued mappingalpha-admissibilityCG-simulation functions
spellingShingle Deepesh Kumar Patel
Fixed points of multivalued contractions via generalized class of simulation functions
Boletim da Sociedade Paranaense de Matemática
Fixed points
multivalued mapping
alpha-admissibility
CG-simulation functions
title Fixed points of multivalued contractions via generalized class of simulation functions
title_full Fixed points of multivalued contractions via generalized class of simulation functions
title_fullStr Fixed points of multivalued contractions via generalized class of simulation functions
title_full_unstemmed Fixed points of multivalued contractions via generalized class of simulation functions
title_short Fixed points of multivalued contractions via generalized class of simulation functions
title_sort fixed points of multivalued contractions via generalized class of simulation functions
topic Fixed points
multivalued mapping
alpha-admissibility
CG-simulation functions
url https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/38184
work_keys_str_mv AT deepeshkumarpatel fixedpointsofmultivaluedcontractionsviageneralizedclassofsimulationfunctions