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math.OC2024
Alternative theorem for sequences of functions and applications to optimisation
Mohammed Bachir, Rongzhen Lyu
We present a new alternative theorems for sequences of functions. As applications, we extend recent results in the literature related to first-order necessary conditions for optima…
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…