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Duality theorems and optimality conditions for nonconvex optimization problems

R. Deumlich Sektion Mathematik/Physik, Pädagogisehe Hochschule N. K. Krupskaja Halle, Halle, Kröllwitzer Str. 44, Halle, DDR-402Karl‐Heinz Elster Sektion Mathematik, Rechentechnik und ökonomische, Technische Hochschule Ilmenau, Ilmenau, DDR-63, Am Ehrenberg
1980en
ABI

Abstract

Abstract Continuing former papers of the authors the present paper gives assertions about φ-conjugate in connection with duality theorems and optimality conditions for a rather broad class of nonconex optimization problems. A geometrical interpretation of the statements follows in a natural way by the projective extension of the Euclideanspace.

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