Errata: Elimination of Strict Convergence in Optimization | Zendy

Dušan Bednařı́k | Zendy; Karel Pastor | Zendy

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Errata: Elimination of Strict Convergence in Optimization

Author(s) -

Dušan Bednařı́k,

Karel Pastor

Publication year - 2006

Publication title -

siam journal on control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.486

H-Index - 116

eISSN - 1095-7138

pISSN - 0363-0129

DOI - 10.1137/050636309

Subject(s) - corollary , assertion , convergence (economics) , mathematics , mathematical economics , mathematical optimization , computer science , pure mathematics , economics , economic growth , programming language

summary:The notion of $\tilde {\ell }$-stability is defined using the lower Dini directional derivatives and was introduced by the authors in their previous papers. In this paper we prove that the class of $\tilde {\ell }$-stable functions coincides with the class of C$^{1,1}$ functions. This also solves the question posed by the authors in SIAM J. Control Optim. 45 (1) (2006), pp.\ 383--387

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