A new proof of the Kuhn-Tucker and Farkas theorems
The authors present a very simple proof of the Kuhn-Tucker theorem (in the Fritz John form) by using only the well-known formula for calculating the projection of a vector onto a closed, convex set. The proof is given first in the Euclidean setting, and then generalized to Banach spaces. Their approach is also employed to prove Farkas' lemma.
scientific article; zbMATH DE number 6968558
scientific article