Gap Functions for Equilibrium Problems

Authors:
G. Mastroeni
Affiliations:
Department of Mathematics, University of Pisa, Via Buonarroti 2, 56127 Pisa, Italy (e-mail: mastroen@dm.unipi.it
Venue:
Journal of Global Optimization
Year:
2003

Citing 8
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Abstract

The theory of gap functions, developed in the literature for variational inequalities, is extended to a general equilibrium problem. Descent methods, with exact an inexact line-search rules, are proposed. It is shown that these methods are a generalization of the gap function algorithms for variational inequalities and optimization problems.