Fuzzy normed linear spaces extend conventional normed spaces by integrating a degree of imprecision through fuzzy set theory, thereby quantifying uncertainty in the measurement of vector magnitude. In ...

Asymmetric normed spaces extend the classical framework of normed spaces by allowing the distance function to lack the symmetry property. This refinement facilitates the capture of directional or ...

This is a preview. Log in through your library . Abstract Within the framework of Bishop's constructive mathematics, we give conditions under which a bounded convex subset of a uniformly smooth normed ...

For every normed space Z, we note its closed unit ball and unit sphere by BZ and SZ, respectively. Let X and Y be normed spaces such that SX is Lipschitz homeomorphic to S$_{X\oplus R}$, and SY is ...