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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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-021-02607-w |