TY - JOUR AU - Mustăţa, Costică PY - 2002/02/01 Y2 - 2024/03/29 TI - On the extremal semi-Lipschitz functions JF - Rev. Anal. Numér. Théor. Approx. JA - Rev. Anal. Numér. Théor. Approx. VL - 31 IS - 1 SE - Articles DO - 10.33993/jnaat311-712 UR - https://ictp.acad.ro/jnaat/journal/article/view/2002-vol31-no1-art11 SP - 103-108 AB - <pre>The extremal elements of the unit balls of Banach spaces play an </pre><pre>important role in the study of the geometry of the space as well as </pre><pre>in various applications. For Banach spaces of Lipschitz real </pre><pre>functions the extremal elements of the unit ball are investigated </pre><pre>in numerous papers (S. Cobzas 1989, J. D. Farmer 1994, N. V. Rao </pre><pre>and A. C. Roy 1970, Roy 1968 and in the references therein). In </pre><pre>this note we shall present a procedure to obtain extremal elements </pre><pre>of the unit ball of the quasi-normed semilinear space of </pre><pre>real-valued semi-Lipschitz functions defined on a quasi-metric </pre><pre>space.</pre> ER -