Decision making on the mappings’ ideal solution of a fuzzy non-linear matrix system of Kannan-type
Mustafa, Arafa O.; Bakery, Awad A.;
Abstract
Since proving many fixed point theorems in a given space requires either growing the space itself or growing the self-mapping that works on it, both of these options are good. The operators’ ideal generated by a weighted binomial matrix in the Nakano sequence space of extended s-fuzzy functions is constructed. Some structures for it based on geometry and topology are presented. It has been proven that the Kannan contraction operator has a unique fixed point in this class. Lastly, sufficient conditions such that a fuzzy non-linear matrix system of Kannan-type has a unique solution in this ideal class are investigated and a numerical example to explain our results are given.
Other data
Title | Decision making on the mappings’ ideal solution of a fuzzy non-linear matrix system of Kannan-type | Authors | Mustafa, Arafa O.; Bakery, Awad A. | Keywords | Binomial matrix;extended s-fuzzy functions;Kannan contraction mapping;multiplication mapping;Nakano sequence space | Issue Date | 1-Jan-2023 | Journal | Journal of Mathematics and Computer Science | Volume | 30 | Issue | 1 | Start page | 48 | End page | 66 | ISSN | 2008949X | DOI | 10.22436/jmcs.030.01.06 | Scopus ID | 2-s2.0-85143498112 |
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