Andrei V. Orlov

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In this paper we propose a new approach based on global optimality conditions for solving continuous nonconvex optimization problems. We present in detail a technique for nding a solution to the following three problems: the problem of polyhedral separability, the problem of solving a system of nonlinear equations, and the problem of nding the Nash(More)
During the recent decades, problems with hierarchical (in particular, bilevel) structure seem to be the most attractive field for many experts. In course of investigation of bilevel programming problems the difficulty arises already at the stage of defining a concept of solution. The optimistic and pessimistic (guaranteed) concepts of solution are the most(More)
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