On the singularities in linear one-parametric optimization problems

The stability properties of linear one-parametric optimization problems are stuided via classification of solutions of the problem under different regularity assumptions. The classes of linear one-parametric optimization problems determined by some regularity assumptions introduced in the literature will be described and an extension of them will be presented. A notion of regularity will be introduced, which determine the largest class of linear one-parametric problems where it is possible to classify the solutions.