Geodesic
On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming
Matematičeskie zametki, Tome 115 (2024) no. 2, pp. 177-196

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We consider the constrained optimization problem for a smooth function defined on a Banach space with smooth constraints of equality and inequality type. We show that for this problem, under the known sufficient second-order optimality conditions, the set of Lagrange multipliers can be replaced by a smaller set.
Keywords: mathematical programming problem, Lagrange function, sufficient second-order optimality conditions. 
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     author = {A. V. Arutyunov and S. E. Zhukovskiy},
     title = {On the {Second} {Order} {Sufficient} {Optimality} {Conditions} for a {Problem} of {Mathematical} {Programming}},
     journal = {Matemati\v{c}eskie zametki},
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A. V. Arutyunov; S. E. Zhukovskiy. On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming. Matematičeskie zametki, Tome 115 (2024) no. 2, pp. 177-196. http://geodesic.mathdoc.fr/item/MZM_2024_115_2_a2/