Abstract
The aim of this paper is to consider equilibrium problems with data depending explicitly on the time and to study how the equilibrium conditions change and under which assumptions the existence of a solution time depending can be ensured. We consider the special case of equilibrium flows in a network, because this model represents a valid test to know the problems arising from this new formulation suggested by F. Giannessi (see [1]) in order to achieve a better definition of equilibrium, whose nature is essentially dynamic.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F. Giannessi, A remark on infinite dimensional variational inequalities, Le Matematiche, 49 (1994), 243–247.
A. Maugeri, Variational and Quasi-Variational Inequalities in Network flow models, Recent developments in theory and algorithm, In “Variational Inequalities and Network Equilibrium Problems, F. Giannessi and A. Maugeri (Ed.$), Plenum, New York 1995, 195–211.
B. Ricceri, Basic existence theorems for generalized Variational Inequalities, in `Variational Inequalities and Network Equilibrium Problems“, F. Giannessi and A. Maugeri (Ed.s), Plenum, New York 1995, 251–256.
E. De Giorgi, Teoremi si semicontinuità nel Calcolo delle Variazioni, Ist. Naz. di Alta Matematica (1968).
R. Landes, On a necessary condition in the Calculus of Variations, Rendiconti del Circolo matematico di Palermo, 61 (1992), 369–387.
P. Daniele, Remark on a dynamic model of a Quasi-Variational Inequality, (to appear).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Maugeri, A. (1998). Dynamic models and generalized equilibrium problems. In: Giannessi, F., Komlósi, S., Rapcsák, T. (eds) New Trends in Mathematical Programming. Applied Optimization, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2878-1_15
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2878-1_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4793-2
Online ISBN: 978-1-4757-2878-1
eBook Packages: Springer Book Archive