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

Abstract The parallelogram law characterizes a part of the structure of Hilbert spaces. To hold the parallelogram law by the norm, reasonably good conditions are required for Banach spaces. This paper proposes new type parallelogram laws with bifunctions on Banach spaces and geodesic spaces, respect...

Full description

Bibliographic Details
Main Authors: Yasunori Kimura, Shuta Sudo
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:https://doi.org/10.1007/s40065-022-00397-7