On the domain of generalized mean in Nakano sequence space, and its prequasi ideal with some applications

Autor:	Awad A. Bakery, M. H. El Dewaik
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	s-numbers Prequasi ideal Generalized mean Multiplication mapping Simple space Kannan contraction mapping Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-30 (2022)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-022-02788-y
Popis:	Abstract Some topological and geometric behavior of the space of all sequences whose generalized mean transforms are in Nakano sequence space, the multiplication mappings acting on it, and the eigenvalue distribution of mappings ideal generated by this space and s-numbers are discussed. We construct the existence of a fixed point of Kannan contraction mapping on these spaces. Several numerical experiments are presented to illustrate our results. Moreover, some successful applications to the existence of solutions of nonlinear difference equations are explained. The strength here is that the current results are constructed under flexible setups given by controlling the weight and power of these spaces.
Databáze:	Directory of Open Access Journals
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