Loading [MathJax]/extensions/MathZoom.js
The present paper is a continuation of [2] where we deal with the duality for a multiobjective fractional optimization problem. The basic idea in [2] consists in attaching an intermediate multiobjective convex optimization problem to the primal fractional problem, using an approach due to Dinkelbach ([6]), for which we construct then a dual problem expressed in terms of the conjugates of the functions involved. The weak, strong and converse duality statements for the intermediate problems allow...
We analyze the convergence of the prox-regularization algorithms introduced in [1], to solve generalized fractional programs, without assuming that the optimal solutions set of the considered problem is nonempty, and since the objective functions are variable with respect to the iterations in the auxiliary problems generated by Dinkelbach-type algorithms DT1 and DT2, we consider that the regularizing parameter is also variable. On the other hand we study the convergence when the iterates are only...
We analyze the convergence of the prox-regularization algorithms
introduced in [1], to solve generalized fractional programs,
without assuming that the optimal solutions set of the considered
problem is nonempty, and since the objective functions are
variable with respect to the iterations in the auxiliary problems
generated by Dinkelbach-type algorithms DT1 and DT2, we consider
that the regularizing parameter is also variable. On the other
hand we study the convergence when the iterates are only
ηk-minimizers...
Currently displaying 1 –
5 of
5