Nguyen Huy Hung, Nguyen Van Tuyen, Optimality conditions and duality relations in nonsmooth fractional interval-valued multiobjective optimization
Full Text: PDF
Volume 5, Issue 1, 1 April 2023, Pages 31-47
Abstract. This paper deals with Pareto solutions of a nonsmooth fractional interval-valued multiobjective optimization. We first introduce four types of Pareto solutions of the considered problem by considering the lower-upper interval order relation and then apply some advanced tools of variational analysis and generalized differentiation to establish necessary optimality conditions for these solutions. Sufficient conditions for Pareto solutions of such a problem are also provided by means of introducing the concepts of (strictly) generalized convex functions defined in terms of the limiting/Mordukhovich subdifferential of locally Lipschitzian functions. Finally, a Mond-Weir type dual model is formulated, and weak, strong and converse-like duality relations are examined.
How to Cite this Article:
N.H. Hung, N.V. Tuyen, Optimality conditions and duality relations in nonsmooth fractional interval-valued multiobjective optimization, Appl. Set-Valued Anal. Optim. 5 (2023), 31-47.