Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences

Introduction/purpose: This paper considers, generalizes and improves recent results on fixed points in rectangular metric spaces. The aim of this paper is to provide much simpler and shorter proofs of some new results in rectangular metric spaces. Methods: Some standard methods from the fixed poin...

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Autores principales:	Mudasir Younis, Nicola Fabiano, Zaid M. Fadail, Zoran D. Mitrović, Stojan N. Radenović
Formato:	article
Lenguaje:	EN
Publicado:	University of Defence in Belgrade 2021
Materias:	fixed point rectangular metric space contractive map green function Military Science U Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/d61e90ae3ddf4992a8d8857ad7fb27cc
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spelling	oai:doaj.org-article:d61e90ae3ddf4992a8d8857ad7fb27cc2021-12-02T14:07:29ZSome new observations on fixed point results in rectangular metric spaces with applications to chemical sciences10.5937/vojtehg69-295170042-84692217-4753https://doaj.org/article/d61e90ae3ddf4992a8d8857ad7fb27cc2021-01-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2021/0042-84692101008Y.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/purpose: This paper considers, generalizes and improves recent results on fixed points in rectangular metric spaces. The aim of this paper is to provide much simpler and shorter proofs of some new results in rectangular metric spaces. Methods: Some standard methods from the fixed point theory in generalized metric spaces are used. Results: The obtained results improve the well-known results in the literature. The new approach has proved that the Picard sequence is Cauchy in rectangular metric spaces. The obtained results are used to prove the existence of solutions to some nonlinear problems related to chemical sciences. Finally, an open question is given for generalized contractile mappings in rectangular metric spaces. Conclusions: New results are given for fixed points in rectangular metric spaces with application to some problems in chemical sciences.Mudasir YounisNicola FabianoZaid M. FadailZoran D. MitrovićStojan N. RadenovićUniversity of Defence in Belgradearticlefixed pointrectangular metric spacecontractive mapgreen functionMilitary ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 69, Iss 1, Pp 8-30 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fixed point rectangular metric space contractive map green function Military Science U Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	fixed point rectangular metric space contractive map green function Military Science U Engineering (General). Civil engineering (General) TA1-2040 Mudasir Younis Nicola Fabiano Zaid M. Fadail Zoran D. Mitrović Stojan N. Radenović Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences
description	Introduction/purpose: This paper considers, generalizes and improves recent results on fixed points in rectangular metric spaces. The aim of this paper is to provide much simpler and shorter proofs of some new results in rectangular metric spaces. Methods: Some standard methods from the fixed point theory in generalized metric spaces are used. Results: The obtained results improve the well-known results in the literature. The new approach has proved that the Picard sequence is Cauchy in rectangular metric spaces. The obtained results are used to prove the existence of solutions to some nonlinear problems related to chemical sciences. Finally, an open question is given for generalized contractile mappings in rectangular metric spaces. Conclusions: New results are given for fixed points in rectangular metric spaces with application to some problems in chemical sciences.
format	article
author	Mudasir Younis Nicola Fabiano Zaid M. Fadail Zoran D. Mitrović Stojan N. Radenović
author_facet	Mudasir Younis Nicola Fabiano Zaid M. Fadail Zoran D. Mitrović Stojan N. Radenović
author_sort	Mudasir Younis
title	Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences
title_short	Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences
title_full	Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences
title_fullStr	Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences
title_full_unstemmed	Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences
title_sort	some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences
publisher	University of Defence in Belgrade
publishDate	2021
url	https://doaj.org/article/d61e90ae3ddf4992a8d8857ad7fb27cc
work_keys_str_mv	AT mudasiryounis somenewobservationsonfixedpointresultsinrectangularmetricspaceswithapplicationstochemicalsciences AT nicolafabiano somenewobservationsonfixedpointresultsinrectangularmetricspaceswithapplicationstochemicalsciences AT zaidmfadail somenewobservationsonfixedpointresultsinrectangularmetricspaceswithapplicationstochemicalsciences AT zorandmitrovic somenewobservationsonfixedpointresultsinrectangularmetricspaceswithapplicationstochemicalsciences AT stojannradenovic somenewobservationsonfixedpointresultsinrectangularmetricspaceswithapplicationstochemicalsciences
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Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences

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