International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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

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

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 2287-2295
  • Receive Date: 17 October 2019
  • Revise Date: 30 May 2021
  • Accept Date: 12 June 2021