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A regularized Newton method for solving equilibrium programming problems with an inexactly specified set
Authors:A S Antipin  F P Vasil’ev  A S Stukalov
Institution:(1) Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia;(2) Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Abstract:Unstable equilibrium problems are examined in which the objective function and the set where the equilibrium point is sought are specified inexactly. A regularized Newton method, combined with penalty functions, is proposed for solving such problems, and its convergence is analyzed. A regularizing operator is constructed.
Keywords:equilibrium programming  regularization  Newton method  penalty functions
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