Applications of Fenchel Duality for Vector Optimization Problems

Authors

  • Lkhamsuren Altangerel German-Mongolian Institute for Resources and Technology, Ulaanbaatar, Mongolia

DOI:

https://doi.org/10.5564/mmj.v26i24.3002

Keywords:

Vector optimization problems, Fenchel duality, Optimality conditions

Abstract

This paper deals with applications of Fenchel duality for vector optimization problems based on alternative definitions of the conjugate maps and the subgradient for a set-valued map having vector variables (cf. [3]). Some results investigated in Section 4 in [3] allow us to consider applications presented in this paper.

Downloads

Download data is not yet available.
Abstract
130
PDF
135

Downloads

Published

2023-08-31

How to Cite

Altangerel, L. (2023). Applications of Fenchel Duality for Vector Optimization Problems. Mongolian Mathematical Journal, 26(24), 24–29. https://doi.org/10.5564/mmj.v26i24.3002

Issue

No. 24 (2023)

Section

Articles

License

Copyright (c) 2023 Lkhamsuren Altangerel

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Copyright on any research article in the Mongolian Mathematical Journal is retained by the author(s).

The authors grant the Mongolian Mathematical Journal a license to publish the article and identify itself as the original publisher.


Articles in the Mongolian Mathematical Journal are Open Access articles published under a Creative Commons Attribution NonCommercial (CC-BY-NC)

This license permits use, distribution and reproduction in any medium, provided the original work is properly cited,  does not allow for commercial use of the original work.