Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 28, No 1, (2002), 37p-46p
Abstract:
We prove that in some classes of optimization problems, like
lower semicontinuous functions which are bounded from below, lower semi-continuous
or continuous functions which are bounded below by a coercive
function and quasi-convex continuous functions with the topology of the
uniform convergence, the complement of the set of well-posed problems is
σ-porous. These results are obtained as realization of a theorem extending
a variational principle of Ioffe-Zaslavski.
