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On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces
2018
SIAM Journal of Control and Optimization
This paper deals with a general form of variational problems in Banach spaces which encompasses variational inequalities as well as minimization problems. We prove a characterization of local error bounds for the distance to the (primal-dual) solution set and give a sufficient condition for such an error bound to hold. In the second part of the paper, we consider an algorithm of augmented Lagrangian type for the solution of such variational problems. We give some global convergence properties
doi:10.1137/17m1146518
fatcat:24yynk5viralvm736jsae6qtsq