The Necessary Condition For Fixed Points In The Inverse Limits Spaces

A point  in the inverse limit space is said to be a cut point of this space when excluded from it, when the number of the components of that space increases. Therefore, this study aims at finding the necessary condition for fixed points in the inverse limit space to be cut points. Then, for applyin...

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Main Authors: Ali H. Ali, Faruq A. Mena
Format: Article
Language:English
Published: Tikrit University 2023-12-01
Series:Tikrit Journal of Pure Science
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Online Access:https://tjpsj.org/index.php/tjps/article/view/1372
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author Ali H. Ali
Faruq A. Mena
author_facet Ali H. Ali
Faruq A. Mena
author_sort Ali H. Ali
collection DOAJ
description A point  in the inverse limit space is said to be a cut point of this space when excluded from it, when the number of the components of that space increases. Therefore, this study aims at finding the necessary condition for fixed points in the inverse limit space to be cut points. Then, for applying the main theorem with some conditions, a sequence of upper semi continuous can be employed as a bonding function to get a union of continua as a generalized inverse limit space if there is a generalized inverse limit for each of them separately.
format Article
id doaj-art-3821c6dbe8ec4e4fafca4c9fe0d6cb70
institution Kabale University
issn 1813-1662
2415-1726
language English
publishDate 2023-12-01
publisher Tikrit University
record_format Article
series Tikrit Journal of Pure Science
spelling doaj-art-3821c6dbe8ec4e4fafca4c9fe0d6cb702025-08-20T03:28:59ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262023-12-0128610.25130/tjps.v28i6.1372The Necessary Condition For Fixed Points In The Inverse Limits SpacesAli H. Ali0Faruq A. Mena1Mathematics Department, Faculty of Science, Soran University, Soran, Erbil, Kurdistan Region, IraqMathematics Department, Faculty of Science, Soran University, Soran, Erbil, Kurdistan Region, Iraq A point  in the inverse limit space is said to be a cut point of this space when excluded from it, when the number of the components of that space increases. Therefore, this study aims at finding the necessary condition for fixed points in the inverse limit space to be cut points. Then, for applying the main theorem with some conditions, a sequence of upper semi continuous can be employed as a bonding function to get a union of continua as a generalized inverse limit space if there is a generalized inverse limit for each of them separately. https://tjpsj.org/index.php/tjps/article/view/1372Generalized inverse limitcontinuumfixed pointset valued mapupper semi continuous.
spellingShingle Ali H. Ali
Faruq A. Mena
The Necessary Condition For Fixed Points In The Inverse Limits Spaces
Tikrit Journal of Pure Science
Generalized inverse limit
continuum
fixed point
set valued map
upper semi continuous.
title The Necessary Condition For Fixed Points In The Inverse Limits Spaces
title_full The Necessary Condition For Fixed Points In The Inverse Limits Spaces
title_fullStr The Necessary Condition For Fixed Points In The Inverse Limits Spaces
title_full_unstemmed The Necessary Condition For Fixed Points In The Inverse Limits Spaces
title_short The Necessary Condition For Fixed Points In The Inverse Limits Spaces
title_sort necessary condition for fixed points in the inverse limits spaces
topic Generalized inverse limit
continuum
fixed point
set valued map
upper semi continuous.
url https://tjpsj.org/index.php/tjps/article/view/1372
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