Geodesic
A regularized Newton method for solving equilibrium programming problems with an inexactly specified set
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 21-33
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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. 
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A. S. Antipin; F. P. Vasil'ev; A. S. Stukalov. A regularized Newton method for solving equilibrium programming problems with an inexactly specified set. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 21-33. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a3/

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