Journal
ACTA MATHEMATICA SINICA-ENGLISH SERIES
Volume 25, Issue 3, Pages 343-354Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10114-008-7096-1
Keywords
equilibrium problems; D-gap function; error bound; unconstrained optimization
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Funding
- National Natural Science Foundation of China [10871113, 10671013]
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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.
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