Relation Between the Class of M. Sama and the Class of $\ell$-stable Functions

Karel Pastor

doi:10.11650/tjm/7124

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Home > Journals > Taiwanese J. Math. > Volume 21 > Issue 5 > Article

October, 2017 Relation Between the Class of M. Sama and the Class of $\ell$-stable Functions

Karel Pastor

Taiwanese J. Math. 21(5): 1161-1174 (October, 2017). DOI: 10.11650/tjm/7124

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Abstract

The aim of this paper is to show the equivalence of two classes of nonsmooth functions. We also compare optimality conditions which have been stated for these classes.

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Karel Pastor. "Relation Between the Class of M. Sama and the Class of $\ell$-stable Functions." Taiwanese J. Math. 21 (5) 1161 - 1174, October, 2017. https://doi.org/10.11650/tjm/7124

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Received: 15 December 2015; Revised: 12 January 2017; Accepted: 6 February 2017; Published: October, 2017

First available in Project Euclid: 1 August 2017

zbMATH: 06871363

MathSciNet: MR3707888

Digital Object Identifier: 10.11650/tjm/7124

Subjects:

Primary: 49J50 , 49J52 , 49K10 , 90C29 , 90C30

Keywords: $\ell$-stable function , $C^{1,1}$-function , Clarke subdifferential , Generalized second-order derivative , optimality conditions

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Taiwanese J. Math.

Vol.21 • No. 5 • October, 2017

Mathematical Society of the Republic of China

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Karel Pastor "Relation Between the Class of M. Sama and the Class of $\ell$-stable Functions," Taiwanese Journal of Mathematics, Taiwanese J. Math. 21(5), 1161-1174, (October, 2017)

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