Next Article in Journal
Automatic Calibration of Process Noise Matrix and Measurement Noise Covariance for Multi-GNSS Precise Point Positioning
Next Article in Special Issue
A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence
Previous Article in Journal
Tempered Fractional Integral Inequalities for Convex Functions
Previous Article in Special Issue
A Class of Equations with Three Solutions
Open AccessFeature PaperReview

Variations on the Brouwer Fixed Point Theorem: A Survey

Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, chemin du Cyclotron, 2, 1348 Louvain-la-Neuve, Belgium
Mathematics 2020, 8(4), 501; https://doi.org/10.3390/math8040501
Received: 25 February 2020 / Revised: 20 March 2020 / Accepted: 21 March 2020 / Published: 2 April 2020
(This article belongs to the Special Issue Nonlinear Functional Analysis and Its Applications)
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. View Full-Text
Keywords: Brouwer fixed point theorem; Hamadard theorem; Poincaré–miranda theorem Brouwer fixed point theorem; Hamadard theorem; Poincaré–miranda theorem
MDPI and ACS Style

Mawhin, J. Variations on the Brouwer Fixed Point Theorem: A Survey. Mathematics 2020, 8, 501.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop