arXiv subjects

H. Hosseini Guive

Publications and source records attributed to H. Hosseini Guive.

2 recordsLinked to original sources

arXiv2011

Convexity of Chebyshev Sets Through Differentiability of Distance Function

In this paper, we study a part of approximation theory that presents the conditions under which a \Ceby\sev set in a Banach space is convex. To do so, we use Gateaux differentiability of the distance function.

math.FA↗

arXiv2009

A Review on Some Geometric Results of the Smulian s Theorem on Frechet Differentiability of Norms

In this paper, we prove the Smulian s theorem on Frechet differentiability of norm,and present some of its geometric results concerning the Gateaux and Frechet differentiability of norm and properties of the allied space and its dual such as reflexivity and strict convexity.

math.FA↗