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Regularization for unconstrained vector optimization of convex functionals in Banach spaces

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Abstract

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.

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Buong, N. Regularization for unconstrained vector optimization of convex functionals in Banach spaces. Comput. Math. and Math. Phys. 46, 354–360 (2006). https://doi.org/10.1134/S096554250603002X

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