Technical Report CS0107

Title: Second Order Theory of Extremum Problems
Authors: Aharon Ben-Tal
Abstract: The paper introduces the essentials of a unified second-order theory of local optimality (necessary conditions) for optimization problems in topolgical vector spaces. The results contain the first order conditions, as expressed in the Dubovitskii-Milyutin Theory, and form a framework within which it is possible to obtain second order conditions for problems in Calculus of Vatiation, Optimal Control, Mathematical Programming and Semi-infinite Programming.
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