Nonlinear ( m , ∞ ) $(m,\infty )$ -isometries and ( m , ∞ ) $(m,\infty )$ -expansive (contractive) mappings on normed spaces

Nonlinear ( m , ∞ ) $(m,\infty )$ -isometries and ( m , ∞ ) $(m,\infty )$ -expansive (contractive) mappings on normed spaces

Abstract Let S be a self-mapping on a normed space X ${\mathcal{X}}$ . In this paper, we introduce three new classes of mappings satisfying the following conditions: max 0 ≤ k ≤ m k  even ∥ S k x − S k y ∥ = max 0 ≤ k ≤ m k  odd ∥ S k x − S k y ∥ , max 0 ≤ k ≤ m k  even ∥ S k x − S k y ∥ ≤ max 0 ≤ k...

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Bibliographic Details
Main Author: Aydah Mohammed Ayed Al-Ahmadi
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of Inequalities and Applications
Subjects:
( m , ∞ ) $(m,\infty )$ -isometries
m-isometric operators
Expansive and contractive operator
Online Access:https://doi.org/10.1186/s13660-021-02607-w

Internet

https://doi.org/10.1186/s13660-021-02607-w

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