论文部分内容阅读
Unconstrained Optimization Reformulations of Equilibrium Problems Li Ping ZHANG Ji Ye HAN 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.
Unconstrained Optimization Reformulations of Equilibrium Problems Li Ping ZHANG Ji Ye HAN We generalize the D-gap function developed in the literature for variational inequalities to a general equilibrium problem (EP). Throttle 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.