Vector Approximation Problems in Geometric Vector Optimization

摘要

Using a geometric vector inequality, a special case of that inequality which is abasis for treating certain classes of (nonsmooth) vector optimization problems is introduced. The problems are: vector curve fitting problems, l(sup p) vector approximation problems, and vector regression problems. By the introduced geometric vector inequality, dual problems for such special structured vector optimization problems are obtained in a natural way, and can be solved in an efficient manner, since the dual constraints are linear.