Optimality and duality for nonsmooth multiobjective fractional programming with mixed constraints
This article studies a multiobjective optimization problem where the objective functions are represented via fractions such as \(f_i(x)/g_i(x)\). This paper considers the case where the constraints of the problem are expressed as both equalities and inequalities and the necessary optimality conditions are derived. The article begins with an overview of the necessary terminology and background definitions and theorems. This is followed in section 3 by the main contribution of this paper, where the necessary and sufficient optimality conditions for this problem are derived. The next section then looks at the dual of this optimization problem and several useful theorems are presented with proof. The article concludes with a list of relevant references.
scientific article; zbMATH DE number 5304061
scientific article