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A Minimax-Program-Based Approach for Robust Fractional Multi-Objective Optimization.

Authors :
Li, Henan
Hong, Zhe
Kim, Do Sang
Source :
Mathematics (2227-7390). Aug2024, Vol. 12 Issue 16, p2475. 14p.
Publication Year :
2024

Abstract

In this paper, by making use of some advanced tools from variational analysis and generalized differentiation, we establish necessary optimality conditions for a class of robust fractional minimax programming problems. Sufficient optimality conditions for the considered problem are also obtained by means of generalized convex functions. Additionally, we formulate a dual problem to the primal one and examine duality relations between them. In our results, by using the obtained results, we obtain necessary and sufficient optimality conditions for a class of robust fractional multi-objective optimization problems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
12
Issue :
16
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
179376881
Full Text :
https://doi.org/10.3390/math12162475