Jung’s constant

The paper deals with the unit sphere S∞ of a Hilbert space endowed with natural spherical metric. In the paper, we give a geometric characterization of extremal sets contained in a hemi-sphere of S∞ that generalizes previously known results with respect to the classical Jung theorem.

11p visharma 20-10-2023 4 2   Download

Based on our previous result and by using the technique on α-minimal and X-minimal sets with respect to the Kuratowski and Hausdorff measures of noncompactness, we give some new geometric characterizations of extremal sets in Hilbert spaces.

6p vimaryamnawaz 04-08-2022 3 2   Download