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math.OC2023
Multiplier rules for Dini-derivatives in a topological vector space
Mohammed Bachir, Rongzhen Lyu
We provide new results of first-order necessary conditions of optimality problem in the form of John's theorem and in the form of Karush-Kuhn-Tucker's theorem. We establish our res…
math.OC2023
Lagrange Multipliers in locally convex spaces
Mohammed Bachir, Joel Blot
We give a general Lagrange multiplier rule for mathematical programming problems in a Hausdorff locally convex space. We consider infinitely many inequality and equality constraint…