Regularization for unconstrained vector optimization of convex functionals in Banach spaces
Nguyễn Bường · Computational Mathematics and Mathematical Physics · 2006
An operator regularization method is considered for ill-posed vector optimization of weakly lower semicontinuous essentially convex functionals on reflexive Banach spaces. The regularization parameter is chosen by a modified generalized discrepancy principle. A condition for the estimation of the convergence rate of regularized solutions is derived.