Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator Ideal
A weighted Nakano sequence space and the s-numbers it contains are the subject of this article, which explains the concept of the pre-quasi-norm and its operator ideal. We show that both Kannan contraction and nonexpansive mappings acting on these spaces have a fixed point. A slew of numerical exper...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4995428 |
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| author | Awad A. Bakery Elsayed A. E. Mohamed O. M. Kalthum S. K. Mohamed |
| author_facet | Awad A. Bakery Elsayed A. E. Mohamed O. M. Kalthum S. K. Mohamed |
| author_sort | Awad A. Bakery |
| collection | DOAJ |
| description | A weighted Nakano sequence space and the s-numbers it contains are the subject of this article, which explains the concept of the pre-quasi-norm and its operator ideal. We show that both Kannan contraction and nonexpansive mappings acting on these spaces have a fixed point. A slew of numerical experiments back up our findings. The presence of summable equations’ solutions is shown to be useful in a number of ways. Weight and power of the weighted Nakano sequence space are used to define the parameters for this technique, resulting in customizable solutions. |
| format | Article |
| id | doaj-art-87c1b7ae34b143b6a38057cfb9b5a98c |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-87c1b7ae34b143b6a38057cfb9b5a98c2025-02-03T05:59:59ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/4995428Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator IdealAwad A. Bakery0Elsayed A. E. Mohamed1O. M. Kalthum S. K. Mohamed2University of JeddahUniversity of JeddahUniversity of JeddahA weighted Nakano sequence space and the s-numbers it contains are the subject of this article, which explains the concept of the pre-quasi-norm and its operator ideal. We show that both Kannan contraction and nonexpansive mappings acting on these spaces have a fixed point. A slew of numerical experiments back up our findings. The presence of summable equations’ solutions is shown to be useful in a number of ways. Weight and power of the weighted Nakano sequence space are used to define the parameters for this technique, resulting in customizable solutions.http://dx.doi.org/10.1155/2021/4995428 |
| spellingShingle | Awad A. Bakery Elsayed A. E. Mohamed O. M. Kalthum S. K. Mohamed Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator Ideal Journal of Function Spaces |
| title | Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator Ideal |
| title_full | Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator Ideal |
| title_fullStr | Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator Ideal |
| title_full_unstemmed | Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator Ideal |
| title_short | Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator Ideal |
| title_sort | some fixed point results in premodular special space of sequences and their associated pre quasi operator ideal |
| url | http://dx.doi.org/10.1155/2021/4995428 |
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