Related Suzuki-type fixed point theorems in ordered metric space

Abstract In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed point theorem. Our results on partially ordered metric spaces generalize and exten...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Outass Rida, Chaira Karim, Marhrani El Miloudi
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2020
Materias:	Generalized Kannan mappings Fixed point theorem Suzuki-type contraction Partially ordered metric spaces Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/c1bb59acc0fb4985bd22dd1ce0d4839a
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:c1bb59acc0fb4985bd22dd1ce0d4839a
record_format	dspace
spelling	oai:doaj.org-article:c1bb59acc0fb4985bd22dd1ce0d4839a2021-12-02T11:02:25ZRelated Suzuki-type fixed point theorems in ordered metric space10.1186/s13663-020-00674-01687-1812https://doaj.org/article/c1bb59acc0fb4985bd22dd1ce0d4839a2020-06-01T00:00:00Zhttp://link.springer.com/article/10.1186/s13663-020-00674-0https://doaj.org/toc/1687-1812Abstract In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed point theorem. Our results on partially ordered metric spaces generalize and extend some results of Ran and Reurings as well as of Nieto and Rodríguez-López. To illustrate the effectiveness of our main result, we give an application to matrix equations which involves monotone mappings.Outass RidaChaira KarimMarhrani El MiloudiSpringerOpenarticleGeneralized Kannan mappingsFixed point theoremSuzuki-type contractionPartially ordered metric spacesApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2020, Iss 1, Pp 1-26 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Generalized Kannan mappings Fixed point theorem Suzuki-type contraction Partially ordered metric spaces Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
spellingShingle	Generalized Kannan mappings Fixed point theorem Suzuki-type contraction Partially ordered metric spaces Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 Outass Rida Chaira Karim Marhrani El Miloudi Related Suzuki-type fixed point theorems in ordered metric space
description	Abstract In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed point theorem. Our results on partially ordered metric spaces generalize and extend some results of Ran and Reurings as well as of Nieto and Rodríguez-López. To illustrate the effectiveness of our main result, we give an application to matrix equations which involves monotone mappings.
format	article
author	Outass Rida Chaira Karim Marhrani El Miloudi
author_facet	Outass Rida Chaira Karim Marhrani El Miloudi
author_sort	Outass Rida
title	Related Suzuki-type fixed point theorems in ordered metric space
title_short	Related Suzuki-type fixed point theorems in ordered metric space
title_full	Related Suzuki-type fixed point theorems in ordered metric space
title_fullStr	Related Suzuki-type fixed point theorems in ordered metric space
title_full_unstemmed	Related Suzuki-type fixed point theorems in ordered metric space
title_sort	related suzuki-type fixed point theorems in ordered metric space
publisher	SpringerOpen
publishDate	2020
url	https://doaj.org/article/c1bb59acc0fb4985bd22dd1ce0d4839a
work_keys_str_mv	AT outassrida relatedsuzukitypefixedpointtheoremsinorderedmetricspace AT chairakarim relatedsuzukitypefixedpointtheoremsinorderedmetricspace AT marhranielmiloudi relatedsuzukitypefixedpointtheoremsinorderedmetricspace
_version_	1718396313664487424

Related Suzuki-type fixed point theorems in ordered metric space

Ejemplares similares