On quadratic scalarization of vector optimization problems in Banach spaces |
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| Authors: | Peter I Kogut |
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| Institution: | Department of Differential Equations, Dnipropetrovsk National University, Gagarin av., 72, 49010 Dnipropetrovsk, Ukraine. |
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| Abstract: | We study vector optimization problems in partially ordered Banach spaces and suppose that the objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone. We discuss the so-called adaptive scalarization of such problems and show that the corresponding scalar non-linear optimization problems can be by-turn approximated by quadratic minimization problems. |
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| Keywords: | vector-valued optimization lower semicontinuity partial-ordered spaces efficient solutions scalarization approach |
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