Lagrange multipliers on Banach spaces
= Lagrange multipliers on Banach spaces
{wiki=Lagrange_multipliers_on_Banach_spaces}
Lagrange multipliers are a method used in optimization to find extrema of functions subject to constraints. While the classical approach is often studied in finite-dimensional spaces (like \\(\\mathbb\{R\}^n\\)), the extension of this concept to Banach spaces (which are infinite-dimensional vector spaces equipped with a norm) involves some additional complexities.