Jung's constant for the space Lp

Jung constants of Orlicz sequence spaces

“…The Jung constant JC(X) of a normed linear space X is defined to be Clearly, always 1/2 ≤ JC(X) ≤ 1. Pichugov [12] computed JC(l p ) (see also Corollary 3.4 in Section 3). Amir [1] proved that if X is a dual space, then (Pichugov [12]).…”

Geometrical Background of Metric Fixed Point Theory

“…We recall two more estimates for the normal structure coefficient. The first of them was established in [3] but it can be also proved with help of the subdifferential technique (see [90]). It shows that all finite dimensional spaces have UNS.…”

“…The method used by him to obtain the second of these results is different from ours. We apply a technique due to Pichugov [90]. Theorem 63 was essentially proved in [94] (see also [91]).…”

Random fixed point theorems for a certain class of mappings in banach spaces

“…It is known that every uniformly convex Banach space has uniformly normal structure (cf. Daneš [9]) and that N (H) = √ 2 for a Hilbert space H. Recently, Pichugov [26] (cf. Prus [28])…”