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math.FA2026★ 2 cited
Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems
Pascal Gourdel, Cuong Le Van, Ngoc-Sang Pham +1
This paper uses the Hartman-Stampacchia theorems as the primary tool to prove the Gale-Nikaid{ô}-Debreu lemmas. It also establishes a cycle of equivalences among the Hartman-Stampa…
math.OC2026
A note on first-order and transversality conditions in infinite-horizon continuous-time optimal control models
Stefano Bosi, David Desmarchelier, Ngoc-Sang Pham
We provide simple and easily verifiable necessary and sufficient conditions for infinite-horizon continuous-time optimal control problems. Under standard concavity and integrabilit…