TANGENT AND NORMAL VECTORS TO FEASIBLE REGIONS WITH GEOMETRICALLY DERIVABLE SETS

抄録

We give exact formulae for tangent cones and regular normal cones to feasible sets. We impose geometrical derivability on the sets used in constraint systems, which is weaker than Clarke regularity. Necessary optimality conditions with regular normal vectors can be stronger than those with general normal vectors. An example of the situation is given.