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Necessary conditions for a mathematical programming problem with set and cone constraints
Published online by Cambridge University Press: 17 February 2009
Abstract
This paper is devoted to the derivation of a necessary condition of F. John type which must be satisfied by a solution of a mathematical programming problem with set and cone constraints. The necessary condition is applied to an optimisation problem defined on functional spaces with inequality state constraints. Furthermore a pseudo open mapping theorem is developed in the course of proving the main theorem.
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- Copyright © Australian Mathematical Society 1988