Regularization for unconstrained vector optimization of convex functionals in Banach spaces |
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Authors: | Nguyen Buong |
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Institution: | (1) Vietnamese Academy of Science and Technology, Institute of Information Technology, 18 Hoang Quoc Viet, q. Cau Giay, Ha Noi, Vietnam, 10000 |
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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.
This article was submitted by the author in English. |
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Keywords: | vector optimization of functionals convex functionals on Banach spaces regularization method ill-posed problems |
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