In [10], necessary and sufficient conditions in terms of variational inequalities are intro-duced to characterize minimizers of convex set valued functions with values in a conlinear space. Similar results are proved in [11, 9] for a weaker concept of minimizers and weaker variational inequalities. The implications are proved using scalarization techniques that eventually provide original problems, not fully equivalent to the set-valued counterparts. Therefore, we try, in the course of this note, to close the network among the various no-tions proposed. More specifically, we prove that a minimizer is always a weak minimizer, and a solution to the stronger variational inequality always also a solution to the weak variational inequality of th...
AbstractThe scalarization approaches of Giannessi, Mastroeni and Pellegrini are extended to the stud...
We study necessary and sufficient conditions to attain solutions of set-optimization problems in the...
Extremal problems are studied involving an objective function with values in (order) complete lattic...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions i...
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions i...
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions i...
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions i...
AbstractThe scalarization approaches of Giannessi, Mastroeni and Pellegrini are extended to the stud...
Set-valued extensions of vector-valued functions are used to investigate the relations between weak ...
We introduce the notion of a weak ψ-sharp minimizer for set-valued optimization problems. We present...
AbstractThe scalarization approaches of Giannessi, Mastroeni and Pellegrini are extended to the stud...
We study necessary and sufficient conditions to attain solutions of set-optimization problems in the...
Extremal problems are studied involving an objective function with values in (order) complete lattic...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
Recently, necessary and sufficient conditions in terms of variational inequalities have been introdu...
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions i...
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions i...
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions i...
We introduce the notion of weak minimizer in set optimization. Necessary and sufficient conditions i...
AbstractThe scalarization approaches of Giannessi, Mastroeni and Pellegrini are extended to the stud...
Set-valued extensions of vector-valued functions are used to investigate the relations between weak ...
We introduce the notion of a weak ψ-sharp minimizer for set-valued optimization problems. We present...
AbstractThe scalarization approaches of Giannessi, Mastroeni and Pellegrini are extended to the stud...
We study necessary and sufficient conditions to attain solutions of set-optimization problems in the...
Extremal problems are studied involving an objective function with values in (order) complete lattic...