Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces

Abstract In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in uniformly convex modular spaces and modular spaces. Then we introduce an iteratio...

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Autores principales:	Noureddine El Harmouchi, Karim Chaira, El Miloudi Marhrani
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2020
Materias:	Fixed point Modular space Uniform asymptotic regular Monotone ρ-nonexpansive semigroups Uniformly convex Uniformly convex in every direction Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/1bd205b0f3824713aba1f5675fa36ffc
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spelling	oai:doaj.org-article:1bd205b0f3824713aba1f5675fa36ffc2021-12-02T13:40:04ZCommon fixed points of monotone ρ-nonexpansive semigroup in modular spaces10.1186/s13663-020-00684-y1687-1812https://doaj.org/article/1bd205b0f3824713aba1f5675fa36ffc2020-11-01T00:00:00Zhttp://link.springer.com/article/10.1186/s13663-020-00684-yhttps://doaj.org/toc/1687-1812Abstract In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in uniformly convex modular spaces and modular spaces. Then we introduce an iteration algorithm to approximate a common fixed point for the same class of semigroups.Noureddine El HarmouchiKarim ChairaEl Miloudi MarhraniSpringerOpenarticleFixed pointModular spaceUniform asymptotic regularMonotone ρ-nonexpansive semigroupsUniformly convexUniformly convex in every directionApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2020, Iss 1, Pp 1-24 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fixed point Modular space Uniform asymptotic regular Monotone ρ-nonexpansive semigroups Uniformly convex Uniformly convex in every direction Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
spellingShingle	Fixed point Modular space Uniform asymptotic regular Monotone ρ-nonexpansive semigroups Uniformly convex Uniformly convex in every direction Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 Noureddine El Harmouchi Karim Chaira El Miloudi Marhrani Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces
description	Abstract In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in uniformly convex modular spaces and modular spaces. Then we introduce an iteration algorithm to approximate a common fixed point for the same class of semigroups.
format	article
author	Noureddine El Harmouchi Karim Chaira El Miloudi Marhrani
author_facet	Noureddine El Harmouchi Karim Chaira El Miloudi Marhrani
author_sort	Noureddine El Harmouchi
title	Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces
title_short	Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces
title_full	Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces
title_fullStr	Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces
title_full_unstemmed	Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces
title_sort	common fixed points of monotone ρ-nonexpansive semigroup in modular spaces
publisher	SpringerOpen
publishDate	2020
url	https://doaj.org/article/1bd205b0f3824713aba1f5675fa36ffc
work_keys_str_mv	AT noureddineelharmouchi commonfixedpointsofmonotonernonexpansivesemigroupinmodularspaces AT karimchaira commonfixedpointsofmonotonernonexpansivesemigroupinmodularspaces AT elmiloudimarhrani commonfixedpointsofmonotonernonexpansivesemigroupinmodularspaces
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Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces

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