p-regular nonlinearity: tangency at singularity in degenerate optimization problems
Ewa M. Bednarczuk, Alexey A Tret’yakov · Mathematical Methods of Operations Research · 2017
Abstract We investigate description of the tangent cone to the null set of a mapping F at a given point $$x^{*}$$ x ∗ in the case when F is degenerate at $$x^{*}$$ x ∗ . To this aim we introduce the concept of modified 2-regular mappings, which generalizes the concept of p-regular mappings. Our main result provides the description of the tangent cone to the null set of modified 2-regular mappings. With the help of this result we derive new optimality conditions for a wide class of optimization problems with equality constraints.