A note on duality in nonsmooth minimax fractional optimization problems with an infinite number of constraints
Optimization Eruditorum, Volume 1, Issue 1, June 2024, Pages 1–10
LIGUO JIAO
Academy for Advanced Interdisciplinary Studies, Northeast Normal University, Changchun 130024, Jilin Province, China
DO SANG KIM
Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea
Abstract
In this paper, we introduce duality for nonsmooth minimax fractional semi-infinite optimization problems in Asplund space by using some advanced tools of variational analysis and generalized differentiation. We propose a dual problem to the primal one; then weak, strong and converse-like duality relations are explored. In addition, some of these results are applied to multiobjective optimization problems.
Cite this Article as
Liguo Jiao and Do Sang Kim, A note on duality in nonsmooth minimax fractional optimization problems with an infinite number of constraints, Optimization Eruditorum, 1 (2024), 1–10