
The system of generalized setvalued equilibrium problemsAbstract: We introduce new and interesting model of system of generalized setvalued equilibrium problems which generalizes and unifies the system of setvalued equilibrium problems, the system of generalized implicit vector variational inequalities, the system of generalized vector and vectorlike variational inequalities introduced by Ansari et al. (2002), the system of generalized vector variational inequalities presented by Allevi et al. (2001), the system of vector equilibrium problems and the system of vector variational inequalities given by Ansari et al. (2000), the system of scalar variational inequalities presented by Ansari Yao (1999, 2000), Bianchi (1993), Cohen and Caplis (1988), Konnov (2001), and Pang (1985), the system of KyFan variational inequalities proposed bt Deguire et al. (1999) as well as a variety of equilibrium problems in the literature. Several existence results of a solution for the system of generalized setvalued equilibrium problems will be shown.
