publication . Article . 2017

Duality Between Differentiability and Minimization in Banach Spaces

Nourddin Saidou;
Open Access English
  • Published: 01 Apr 2017 Journal: General Letters in Mathematics, volume 2, issue 2, pages 99-104 (issn: 2519-9269, eissn: 2519-9277, Copyright policy)
  • Publisher: Refaad
Abstract
In this paper we will establish a new relationship between differentiability and optimization of convex functions. We consider convex lower semi continuous functions in Banach spaces and we characterize respectively the relation between Fr´echet (Gaˆteaux) differentiability and *strong minimum (*weak minimum) in the dual.
Subjects
arXiv: Mathematics::Functional Analysis
free text keywords: Convex functions, strongly exposed, denting points, strong, weak minimum, differentiability, rotundity., lcsh:Mathematics, lcsh:QA1-939
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