A general lagrange multipliers theorem
А. В. Дмитрук, Nikolai Pavlovich Osmolovskii · 2017
We consider a general optimization problem with equality and inequality constraints in a Banach space, the latter being given by closed convex cones with nonempty interiors. A necessary optimality condition in the form of Lagrange multipliers rule is presented, that is convenient for application to a wide range of optimization problems.