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Keywords = Hamadard theorem

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14 pages, 803 KiB  
Review
Variations on the Brouwer Fixed Point Theorem: A Survey
by Jean Mawhin
Mathematics 2020, 8(4), 501; https://doi.org/10.3390/math8040501 - 2 Apr 2020
Cited by 5 | Viewed by 4284
Abstract
This paper surveys some recent simple proofs of various fixed point and existence theorems for continuous mappings in R n . The main tools are basic facts of the exterior calculus and the use of retractions. The special case of holomorphic functions is [...] Read more.
This paper surveys some recent simple proofs of various fixed point and existence theorems for continuous mappings in R n . The main tools are basic facts of the exterior calculus and the use of retractions. The special case of holomorphic functions is considered, based only on the Cauchy integral theorem. Full article
(This article belongs to the Special Issue Nonlinear Functional Analysis and Its Applications)
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