Zhang, Li Ping et Han, Ji Ye, Unconstrained optimization reformulations of equilibrium problems, Acta mathematica Sinica. English series (Print) , 25(3), 2009, pp. 343-354
We generalize the D-gap function developed in the literature for variational inequalities to a general equilibrium problem (EP). Through the D-gap function, the equilibrium problem is cast as an unconstrained minimization problem. We give conditions under which any stationary point of the D-gap function is a solution of EP and conditions under which it provides a global error bound for EP. Finally, these results are applied to box-constrained EP and then weaker conditions are established to obtain the desired results for box-constrained EP