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

DOI10.1186/s13660-021-02607-wOpenAlexW3164478509MaRDI QIDQ2072854

Aydah Mohammed Ayed Al-Ahmadi

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02607-w

zbMATH Keywords

contractive operator\(m\)-isometric operators\((m,\infty )\)-isometriesexpansive operator

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Unnamed Item
• On the second parameter of an \((m, p)\)-isometry
• \(m\)-isometric transformations of Hilbert space. I
• \(m\)-isometric transformations of Hilbert space. II
• \(m\)-isometric transformations of Hilbert space. III
• Products of \(m\)-isometries
• On \((m, p)\)-expansive and \((m, p)\)-contractive operators on Hilbert and Banach spaces
• On \((m,\infty )\)-isometries: examples
• m-isometries on Banach spaces
• $(m,q)$-Isometries on metric spaces
• GENERALIZATIONS OF ALESANDROV PROBLEM AND MAZUR-ULAM THEOREM FOR TWO-ISOMETRIES AND TWO-EXPANSIVE MAPPINGS

This page was built for publication: Nonlinear \((m,\infty )\)-isometries and \((m,\infty )\)-expansive (contractive) mappings on normed spaces