Optimality conditions of second-order radial epiderivatives
Abstract
In this paper, we introduce the concepts of second-order radial epiderivative and second-order generalized radial epiderivative for nonconvex set-valued maps. We give existence theorems for the second-order generalized radial epiderivatives. We also establish the second-order optimality conditions by using second-order radial epiderivatives.
Copyright © 2017 Gonca İnceoğlu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
G. İnceoğlu, Optimality conditions of second-order radial epiderivatives, J. Math. Comput. Sci. 7 (2017), 973–985.
BibTeX
@article{İnceoğlu2017,
author = {İnceoğlu, Gonca},
title = {Optimality conditions of second-order radial epiderivatives},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {973--985},
doi = {}
}