General Infinite Dimensional Duality Theory and Applications to Evolutionary Network Equilibrium Problems

Year
2007
Type(s)
Author(s)
P. Daniele, S. Giuffrè
Source
Optimization Letters, 1(3), 2007, 227-243.
Url
http://goo.gl/kZ6qpn
BibTeX
BibTeX

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.

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