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    Total ordering cones in Rn and optimality condition for set-valued optimization problems
    (Maltepe Üniversitesi, 2009) Küçük, Mahide; Soyertem, Mustafa; Küçük, Yalçın
    In this work, existence of a total ordering cone that consists a cone with a compact base is shown, the representation of a convex, pointed, total ordering cone in R n is given and it is shown that any total ordering cone in R n is isomorphic to the cone R n lex. Then optimality conditions are given by using total ordering cone to scalarize the set-valued optimization problem.