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.
General infinite dimensional duality and applications to evolutionary network equilibrium problems / Daniele, P; Giuffre', Sofia. - In: OPTIMIZATION LETTERS. - ISSN 1862-4472. - 1:(2007), pp. 227-243. [10.1007/s11590-006-0028-z]
General infinite dimensional duality and applications to evolutionary network equilibrium problems
GIUFFRE', Sofia
2007-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
