Kannan nonexpansive maps on generalized Cesàro backward difference sequence space of non-absolute type with applications to summable equations

Kannan nonexpansive maps on generalized Cesàro backward difference sequence space of non-absolute type with applications to summable equations

Abstract In this article, we investigate the notion of the pre-quasi norm on a generalized Cesàro backward difference sequence space of non-absolute type ( Ξ ( Δ , r ) ) ψ $(\Xi (\Delta,r) )_{\psi }$ under definite function ψ. We introduce the sufficient set-up on it to form a pre-quasi Banach and a...

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Bibliographic Details
Main Authors: Awad A. Bakery, Om Kalthum S. K. Mohamed
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Journal of Inequalities and Applications
Subjects:
Pre-quasi norm
Operator ideal
Property (R)
Cesàro sequence space
Kannan contraction mapping
Kannan nonexpansive mapping
Online Access:https://doi.org/10.1186/s13660-021-02631-w

Internet

https://doi.org/10.1186/s13660-021-02631-w

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