On optimization problems of the difference of non-negative valued affine IR functions and their dual problems

نویسندگان
Bahrami, Samaneh ID 1
Mirzadeh, Somayeh ID 2

1 Department of Mathematics, Shahid Bahonar University of Kerman, P.O. Box, 76169133 Kerman, Iran

2 Department of Mathematics, University of Hormozgan, P.O. Box, 3995, Bandar Abbas, Iran

doi
10.22075/ijnaa.2021.18956.2044
چکیده

The aim of this paper is to present dual optimality conditions for the difference of two non-negative valued affine increasing and radiant (IR) functions. We first give a characterization of dual optimality conditions for the difference of two non-negative valued increasing and radiant (IR) functions. Our approach is based on the Toland-Singer formula.

کلیدواژه‌ها
global optimization, abstract concavity, increasing and radiant function, superdifferential, upper support set, affine function, Toland-Singer formula