General infinite dimensional duality and applications to evolutionary network equilibrium problems

In this paper the authors present an infinite dimensional duality theory
for optimization problems and evolutionary variational inequalities where
the constraint sets are given by inequalities and equalities.The difficulties arising
from the structure of the constraint set are overcome by means of generalized
constraint qualification assumptions based on the concept of quasi relative interior
of a convex set. An application to a general evolutionary network model,
which includes as special cases traffic, spatial price and financial equilibrium
problems, concludes the paper.