Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems

Pascal Gourdel, Cuong Le Van, Ngoc-Sang Pham and Cuong Tran Viet ()

MPRA Paper from University Library of Munich, Germany

Abstract: This paper uses the Hartman-Stampacchia theorems as primary tool to prove the Gale-Nikaido-Debreu lemma. It also establishes a full equivalence circle among the Hartman Stampacchia theorems, the Gale-Nikaido-Debreu lemmas, and Kakutani and Brouwer fixed point theorems.

Keywords: Hartman-Stampacchia theorem; Gale-Nikaido-Debreu Lemma; Brouwer fixed points theorem; Kakutani fixed points theorem. (search for similar items in EconPapers)
JEL-codes: C6 C60 C62 C65 D5 (search for similar items in EconPapers)
Date: 2023-02-28
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https://mpra.ub.uni-muenchen.de/116541/1/MPRA_paper_116541.pdf original version (application/pdf)

Related works:
Working Paper: Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems (2025)
Working Paper: Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems (2025)
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