Title
General infinite dimensional duality and applications to evolutionary network equilibrium problems
Abstract
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.
Year
DOI
Venue
2007
10.1007/s11590-006-0028-z
Optimization Letters
Keywords
Field
DocType
convex set,optimization problem,variational inequality,duality theory,network model
Mathematical optimization,Duality gap,Weak duality,Duality (mathematics),Convex set,Duality (optimization),Strong duality,Convex analysis,Mathematics,Variational inequality
Journal
Volume
Issue
ISSN
1
3
1862-4472
Citations 
PageRank 
References 
15
1.89
3
Authors
2
Name
Order
Citations
PageRank
Patrizia Daniele111316.01
Sofia Giuffrè24911.23