Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces

Introduction/purpose: The aim of the paper is to establish some coupled fixed point results in C*-algebra-valued b-metric spaces. Moreover, the obtained results are used to define the sufficient conditions for the existence of the solutions of some classes of integral equations. Methods: The meth...

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Autores principales:	Esad Jakupović, Hashem P. Masiha, Zoran D. Mitrović, Seyede S. Razavi, Reza Saadati
Formato:	article
Lenguaje:	EN
Publicado:	University of Defence in Belgrade 2020
Materias:	coupled fixed point c*-algebra integral equation Military Science U Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/8b21320200fe43689bd45cc0490deaf6
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spelling	oai:doaj.org-article:8b21320200fe43689bd45cc0490deaf62021-12-02T11:05:42ZExistence and uniqueness of the solutions of some classes of integral equations C-algebra-valued b-metric spaces10.5937/vojtehg68-286320042-84692217-4753https://doaj.org/article/8b21320200fe43689bd45cc0490deaf62020-10-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2020/0042-84692004726J.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/purpose: The aim of the paper is to establish some coupled fixed point results in C-algebra-valued b-metric spaces. Moreover, the obtained results are used to define the sufficient conditions for the existence of the solutions of some classes of integral equations. Methods: The method of coupled fixed points gives the sufficient conditions for the existence of the solution of some classes of integral equations. Results: New results were obtained on coupled fixed points in C * -algebra-valued b-metric space. Conclusion: The obtained results represent a contribution in the fixed point theory and open new possibilities of application in the theory of differential and integral equations.Esad JakupovićHashem P. MasihaZoran D. MitrovićSeyede S. RazaviReza SaadatiUniversity of Defence in Belgradearticlecoupled fixed pointc*-algebraintegral equationMilitary ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 68, Iss 4, Pp 726-742 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	coupled fixed point c*-algebra integral equation Military Science U Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	coupled fixed point c-algebra integral equation Military Science U Engineering (General). Civil engineering (General) TA1-2040 Esad Jakupović Hashem P. Masiha Zoran D. Mitrović Seyede S. Razavi Reza Saadati Existence and uniqueness of the solutions of some classes of integral equations C-algebra-valued b-metric spaces
description	Introduction/purpose: The aim of the paper is to establish some coupled fixed point results in C-algebra-valued b-metric spaces. Moreover, the obtained results are used to define the sufficient conditions for the existence of the solutions of some classes of integral equations. Methods: The method of coupled fixed points gives the sufficient conditions for the existence of the solution of some classes of integral equations. Results: New results were obtained on coupled fixed points in C -algebra-valued b-metric space. Conclusion: The obtained results represent a contribution in the fixed point theory and open new possibilities of application in the theory of differential and integral equations.
format	article
author	Esad Jakupović Hashem P. Masiha Zoran D. Mitrović Seyede S. Razavi Reza Saadati
author_facet	Esad Jakupović Hashem P. Masiha Zoran D. Mitrović Seyede S. Razavi Reza Saadati
author_sort	Esad Jakupović
title	Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces
title_short	Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces
title_full	Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces
title_fullStr	Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces
title_full_unstemmed	Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces
title_sort	existence and uniqueness of the solutions of some classes of integral equations c*-algebra-valued b-metric spaces
publisher	University of Defence in Belgrade
publishDate	2020
url	https://doaj.org/article/8b21320200fe43689bd45cc0490deaf6
work_keys_str_mv	AT esadjakupovic existenceanduniquenessofthesolutionsofsomeclassesofintegralequationscalgebravaluedbmetricspaces AT hashempmasiha existenceanduniquenessofthesolutionsofsomeclassesofintegralequationscalgebravaluedbmetricspaces AT zorandmitrovic existenceanduniquenessofthesolutionsofsomeclassesofintegralequationscalgebravaluedbmetricspaces AT seyedesrazavi existenceanduniquenessofthesolutionsofsomeclassesofintegralequationscalgebravaluedbmetricspaces AT rezasaadati existenceanduniquenessofthesolutionsofsomeclassesofintegralequationscalgebravaluedbmetricspaces
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Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces

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