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Results tagged with fixed-point-theorems
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user 49821
A fixed-point theorem is a result saying that a function $F$ will have at least one fixed point (a point $x$ for which $F(x) = x$), under some conditions on $F$ that can be stated in general terms.
6
votes
Is Schauder's conjecture resolved?
There is R. Cauty paper from 2012 titled 'Un theoreme de Lefschetz-Hopf pour les fonctions a iterees compactes' which from what I heard was reviewed to establish a correct proof of Schauder's conjec …
- 161
2
votes
1
answer
282
views
Fixed point theorem for a nonconvex set in a Banach space
Generally speaking, I am looking for a generalization of the Schauder fixed point theorem, which applies to the situation described briefly below.
All references I read (e.g. E. Zeider 'Nonlinear Fun …
- 161