Abstract:

''On Some Methods to Derive Necessary and Sufficient Optimality
Conditions in Vector Optimization''
(Joint work with M. Durea and R.Strugariu)

(Abstract: The aim of this talk is to address new approaches, in
separate ways, to necessary and, respectively, sufficient optimality
conditions in constrained vector optimization. In this respect, for the
necessary optimality conditions that we derive, we use a kind of
vectorial penalization technique, while for the sufficient optimality
conditions we make use of an appropriate scalarization method. In both
cases, the approaches couple a basic technique (of penalization or
scalarization, respectively) with several recent results in variational
analysis and optimization. These combinations allow us to arrive to
optimality conditions which are, in terms of assumptions made, new.)