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Working paper

On Optimality Conditions for Multi-objective Problems with a Euclidean Cone of Preferences

arxiv.org. math. Cornell University, 2014. No. 1401.2070.
A.Y. Golubin.
The paper suggests a new  --- to the best of the author's knowledge --- characterization of  decisions which are optimal in the multi-objective optimization problem with respect to a definite proper preference cone, a Euclidean cone with a prescribed angular radius.  The main idea is to use the angle distances between the unit vector and points of utility space.A  necessary and sufficient condition  for the optimality in the form of an equation is derived. The first-order necessary  optimality conditions are also obtained.