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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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Bibliografische gegevens
Hoofdauteur: Aydah Mohammed Ayed Al-Ahmadi
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: SpringerOpen 2021-05-01
Reeks:Journal of Inequalities and Applications
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Online toegang:https://doi.org/10.1186/s13660-021-02607-w
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