Taiwanese Journal of Mathematics

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

Karel Pastor

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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.

Article information

Taiwanese J. Math., Volume 21, Number 5 (2017), 1161-1174.

Received: 15 December 2015
Revised: 12 January 2017
Accepted: 6 February 2017
First available in Project Euclid: 1 August 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 49K10: Free problems in two or more independent variables 49J52: Nonsmooth analysis [See also 46G05, 58C50, 90C56] 49J50: Fréchet and Gateaux differentiability [See also 46G05, 58C20] 90C29: Multi-objective and goal programming 90C30: Nonlinear programming

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


Pastor, Karel. Relation Between the Class of M. Sama and the Class of $\ell$-stable Functions. Taiwanese J. Math. 21 (2017), no. 5, 1161--1174. doi:10.11650/tjm/7124. https://projecteuclid.org/euclid.twjm/1501599187

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