Application of penalty methods to non-stationary variational inequalities

We solve a general variational inequality problem in a finite-dimensional setting, where only approximation sequences are known instead of exact values of the cost mapping and feasible set. We suggest to utilize a sequence of solutions of auxiliary problems based on a penalty method. Its convergence...

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Veröffentlicht in:	Nonlinear analysis 2013-11, Vol.92, p.177-182
1. Verfasser:	Konnov, Igor V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Approximation sequence Coercive force Coercivity Coercivity conditions Convergence Inequalities Mapping Mathematical analysis Non-monotone mappings Non-stationarity Nonlinearity Penalty method Regularization Variational inequality
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container_title	Nonlinear analysis
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creator	Konnov, Igor V.
description	We solve a general variational inequality problem in a finite-dimensional setting, where only approximation sequences are known instead of exact values of the cost mapping and feasible set. We suggest to utilize a sequence of solutions of auxiliary problems based on a penalty method. Its convergence is attained without concordance of penalty and approximation parameters under mild coercivity type conditions. We also show that the regularized version of the penalty method enables us to further weaken the coercivity condition.
doi_str_mv	10.1016/j.na.2013.07.015
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subjects	Approximation Approximation sequence Coercive force Coercivity Coercivity conditions Convergence Inequalities Mapping Mathematical analysis Non-monotone mappings Non-stationarity Nonlinearity Penalty method Regularization Variational inequality
title	Application of penalty methods to non-stationary variational inequalities
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