Some Applications of New Complex Function Space Constructed by Different Weights and Exponents

In this article, we develop and study a new complex function space formed by varying the weights and exponents under a definite function. We investigate the geometric and topological characteristics of mapping ideals created using s-numbers and this complex function space. Also, the action of shift...

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Main Authors: Awad A. Bakery, Elsayed A. E. Mohamed
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/7570145
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author Awad A. Bakery
Elsayed A. E. Mohamed
author_facet Awad A. Bakery
Elsayed A. E. Mohamed
author_sort Awad A. Bakery
collection DOAJ
description In this article, we develop and study a new complex function space formed by varying the weights and exponents under a definite function. We investigate the geometric and topological characteristics of mapping ideals created using s-numbers and this complex function space. Also, the action of shift mappings on this complex function space has been discussed. Finally, we introduced an extension of Caristi’s fixed point theorem on it.
format Article
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institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
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record_format Article
series Journal of Mathematics
spelling doaj-art-1e28c31470164cc585edccf0861d5ec52025-02-03T01:04:10ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/75701457570145Some Applications of New Complex Function Space Constructed by Different Weights and ExponentsAwad A. Bakery0Elsayed A. E. Mohamed1University of Jeddah, College of Science and Arts at Khulis, Department of Mathematics, Jeddah, Saudi ArabiaUniversity of Jeddah, College of Science and Arts at Khulis, Department of Mathematics, Jeddah, Saudi ArabiaIn this article, we develop and study a new complex function space formed by varying the weights and exponents under a definite function. We investigate the geometric and topological characteristics of mapping ideals created using s-numbers and this complex function space. Also, the action of shift mappings on this complex function space has been discussed. Finally, we introduced an extension of Caristi’s fixed point theorem on it.http://dx.doi.org/10.1155/2021/7570145
spellingShingle Awad A. Bakery
Elsayed A. E. Mohamed
Some Applications of New Complex Function Space Constructed by Different Weights and Exponents
Journal of Mathematics
title Some Applications of New Complex Function Space Constructed by Different Weights and Exponents
title_full Some Applications of New Complex Function Space Constructed by Different Weights and Exponents
title_fullStr Some Applications of New Complex Function Space Constructed by Different Weights and Exponents
title_full_unstemmed Some Applications of New Complex Function Space Constructed by Different Weights and Exponents
title_short Some Applications of New Complex Function Space Constructed by Different Weights and Exponents
title_sort some applications of new complex function space constructed by different weights and exponents
url http://dx.doi.org/10.1155/2021/7570145
work_keys_str_mv AT awadabakery someapplicationsofnewcomplexfunctionspaceconstructedbydifferentweightsandexponents
AT elsayedaemohamed someapplicationsofnewcomplexfunctionspaceconstructedbydifferentweightsandexponents