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math.FA2008
A Review on Some Geometric Results of the Smulian s Theorem on Frechet Differentiability of Norms
A. Assadi, Hadi Haghshenas, H. Hosseini Guive
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…
math.FA2008
Convexity of Chebyshev Sets Through Differentiability of Distance Function
A. Assadi, H. Haghshenas, H. Hosseini Guive
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 differentiabil…