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math.OC2013★ 10 cited
Optimality Conditions in Vector Optimization
Vsevolod I. Ivanov
In this paper we obtain second- and first-order optimality conditions of Kuhn-Tucker type and Fritz John one for weak efficiency in the vector problem with inequality constraints.…
math.OC2013★ 7 cited
Second-order optimality conditions and Lagrange multiplier characterizations of the solution set in quasiconvex programming
Vsevolod I. Ivanov
Second-order optimality conditions for vector nonlinear programming problems with inequality constraints are studied in this paper. We introduce a new second-order constraint quali…