Time: 9h00, Wednesday, September 12, 2018
Location: Rom 302, Building A5, Institute of Mathematics
Abstract: This thesis focuses on linear vector optimization problems and several related nonlinear scalar optimization problems, as well as nonlinear vector optimization problems. Namely, apart from linear vector optimization problems in locally convex Hausdorff topological vector spaces, which are the main subjects of our research, we study polyhedral convex optimization problems and piecewise linear vector optimization problems.
   
The fundamental concepts used in this thesis are polyhedral convex set and polyhedral convex function on locally convex Hausdorff topological vector spaces. About one half of the thesis is devoted to these concepts. Another half of the thesis shows how our new results on polyhedral convex sets and polyhedral convex functions can be applied to scalar optimization problems and vector optimization problems.