Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces

In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces. For multivalued mappings defined on these spaces,...

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Autores principales:	Salwa Salman Abed, Meena Fouad Abduljabbar
Formato:	article
Lenguaje:	AR EN
Publicado:	College of Science for Women, University of Baghdad 2021
Materias:	Fixed Points; Iterative Sequences; Multivalued Mappings; Real Modular Spaces; Uniformly Convex. MSC: 49J40; 47J20 Science Q
Acceso en línea:	https://doaj.org/article/266e5eddb1c14d6a921f870f4865eb31
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spelling	oai:doaj.org-article:266e5eddb1c14d6a921f870f4865eb312021-12-04T16:13:03ZSome Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces10.21123/bsj.2021.18.4.12182078-86652411-7986https://doaj.org/article/266e5eddb1c14d6a921f870f4865eb312021-12-01T00:00:00Zhttps://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4322https://doaj.org/toc/2078-8665https://doaj.org/toc/2411-7986 In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces. For multivalued mappings defined on these spaces, the convergence of a two-step type iterative sequence to a fixed point is proved Salwa Salman AbedMeena Fouad AbduljabbarCollege of Science for Women, University of BaghdadarticleFixed Points; Iterative Sequences; Multivalued Mappings; Real Modular Spaces; Uniformly Convex. MSC: 49J40; 47J20ScienceQARENBaghdad Science Journal, Vol 18, Iss 4 (2021)
institution	DOAJ
collection	DOAJ
language	AR EN
topic	Fixed Points; Iterative Sequences; Multivalued Mappings; Real Modular Spaces; Uniformly Convex. MSC: 49J40; 47J20 Science Q
spellingShingle	Fixed Points; Iterative Sequences; Multivalued Mappings; Real Modular Spaces; Uniformly Convex. MSC: 49J40; 47J20 Science Q Salwa Salman Abed Meena Fouad Abduljabbar Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces
description	In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces. For multivalued mappings defined on these spaces, the convergence of a two-step type iterative sequence to a fixed point is proved
format	article
author	Salwa Salman Abed Meena Fouad Abduljabbar
author_facet	Salwa Salman Abed Meena Fouad Abduljabbar
author_sort	Salwa Salman Abed
title	Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces
title_short	Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces
title_full	Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces
title_fullStr	Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces
title_full_unstemmed	Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces
title_sort	some results on normalized duality mappings and approximating fixed points in convex real modular spaces
publisher	College of Science for Women, University of Baghdad
publishDate	2021
url	https://doaj.org/article/266e5eddb1c14d6a921f870f4865eb31
work_keys_str_mv	AT salwasalmanabed someresultsonnormalizeddualitymappingsandapproximatingfixedpointsinconvexrealmodularspaces AT meenafouadabduljabbar someresultsonnormalizeddualitymappingsandapproximatingfixedpointsinconvexrealmodularspaces
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Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces

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