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

Henan Li, Zhe Hong () and Do Sang Kim ()
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Henan Li: Academy for Advanced Interdisciplinary Studies, Northeast Normal University, Changchun 130024, China
Zhe Hong: Department of Mathematics, Yanbian University, Yanji 133002, China
Do Sang Kim: Department of Applied Mathematics, Pukyong Natinal University, Busan 48513, Republic of Korea

Mathematics, 2024, vol. 12, issue 16, 1-14

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.

Keywords: fractional program; minimax program; multi-objective optimization; variational analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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