Decision-Making on the Solution of a Stochastic Nonlinear Dynamical System of Kannan-Type in New Sequence Space of Soft Functions. (28th August 2022)

• Record Type: Journal Article
• Authors: Alsolmi, Meshayil M.; Bakery, Awad A.
• Other Names: Kumar Santosh Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-08-28
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/9011506
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.