Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft Functions
In this paper, we construct and investigate the space of weighted Gamma matrix of order r in Nakano sequence space of soft functions. The idealization of the mappings has been achieved through the use of extended s-soft functions and this sequence space of soft functions. This new space’s topologica...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/9011506 |
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| author | Meshayil M. Alsolmi Awad A. Bakery |
| author_facet | Meshayil M. Alsolmi Awad A. Bakery |
| author_sort | Meshayil M. Alsolmi |
| collection | DOAJ |
| description | In this paper, we construct and investigate the space of weighted Gamma matrix of order r in Nakano sequence space of soft functions. The idealization of the mappings has been achieved through the use of extended s-soft functions and this sequence space of soft functions. This new space’s topological and geometric properties, the multiplication mappings that stand in on it, and the mappings’ ideal that correspond to them are discussed. We construct the existence of a fixed point of Kannan contraction mapping acting on this space and its associated prequasi ideal. Interestingly, several numerical experiments are presented to illustrate our results. Additionally, some successful applications to the existence of solutions of nonlinear difference equations of soft functions are introduced. |
| format | Article |
| id | doaj-art-940266dd2a164bc097ee69360e1bb2b9 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-940266dd2a164bc097ee69360e1bb2b92025-02-03T01:22:51ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9011506Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft FunctionsMeshayil M. Alsolmi0Awad A. Bakery1University of JeddahDepartment of MathematicsIn this paper, we construct and investigate the space of weighted Gamma matrix of order r in Nakano sequence space of soft functions. The idealization of the mappings has been achieved through the use of extended s-soft functions and this sequence space of soft functions. This new space’s topological and geometric properties, the multiplication mappings that stand in on it, and the mappings’ ideal that correspond to them are discussed. We construct the existence of a fixed point of Kannan contraction mapping acting on this space and its associated prequasi ideal. Interestingly, several numerical experiments are presented to illustrate our results. Additionally, some successful applications to the existence of solutions of nonlinear difference equations of soft functions are introduced.http://dx.doi.org/10.1155/2022/9011506 |
| spellingShingle | Meshayil M. Alsolmi Awad A. Bakery Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft Functions Journal of Function Spaces |
| title | Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft Functions |
| title_full | Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft Functions |
| title_fullStr | Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft Functions |
| title_full_unstemmed | Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft Functions |
| title_short | Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft Functions |
| title_sort | decision making on the solution of a stochastic nonlinear dynamical system of kannan type in new sequence space of soft functions |
| url | http://dx.doi.org/10.1155/2022/9011506 |
| work_keys_str_mv | AT meshayilmalsolmi decisionmakingonthesolutionofastochasticnonlineardynamicalsystemofkannantypeinnewsequencespaceofsoftfunctions AT awadabakery decisionmakingonthesolutionofastochasticnonlineardynamicalsystemofkannantypeinnewsequencespaceofsoftfunctions |