We are concerned with an infinite dimensional variational inequality which is connected with the dynamic oligopolistic market equilibrium problem. We will provide existence theorems and show, under minimal assumptions on the data, the Lipschitz continuity of the solution. Moreover a general duality theory is provided overcoming the difficulty of the voidness of the interior of the ordering cone which defines the cone constraints.
Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term / Barbagallo, Annamaria; R., Di Vincenzo. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 382:1(2011), pp. 231-247. [10.1016/j.jmaa.2011.04.042]
Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term
BARBAGALLO, ANNAMARIA;
2011
Abstract
We are concerned with an infinite dimensional variational inequality which is connected with the dynamic oligopolistic market equilibrium problem. We will provide existence theorems and show, under minimal assumptions on the data, the Lipschitz continuity of the solution. Moreover a general duality theory is provided overcoming the difficulty of the voidness of the interior of the ordering cone which defines the cone constraints.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
