Unconstrained optimization reformulations of equilibrium problems
- 80 Downloads
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.
Keywordsequilibrium problems D-gap function error bound unconstrained optimization
MR(2000) Subject Classification90C30 90C31 90C33 49J52
Unable to display preview. Download preview PDF.
- Auslender, A.: Optimization: Methods Numeriques, Masson, Paris, France, 1976Google Scholar