New type parallelogram laws in Banach spaces and geodesic spaces with curvature bounded above

DOI10.1007/s40065-022-00397-7zbMath1529.46011OpenAlexW4303646896WikidataQ114852230 ScholiaQ114852230MaRDI QIDQ6133360

Yasunori Kimura, Shuta Sudo

Publication date: 24 July 2023

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-022-00397-7

zbMATH Keywords

parallelogram lawgeodesic spaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

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Cites Work

• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• The normalized duality mapping and two related characteristic properties of a uniformly convex Banach space
• Weak convergence theorems for Bregman relatively nonexpansive mappings in Banach spaces
• Inequalities in Banach spaces with applications
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
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