# Fixed Point Theorem

### Some articles on fixed, theorem, fixed point theorem, fixed point:

Caristi Fixed-point Theorem
... In mathematics, the Caristi fixed-point theorem (also known as the Caristi–Kirk fixed-point theorem) generalizes the Banach fixed point theorem for maps of a complete metric space into itself ... Caristi's fixed-point theorem is a variation of the ε-variational principle of Ekeland (1974, 1979) ... Moreover, the conclusion of Caristi's theorem is equivalent to metric completeness, as proved by Weston (1977) ...
Governing Dynamics - Proof of Existence - Proof Using The Kakutani Fixed Point Theorem
... Nash's original proof (in his thesis) used Brouwer's fixed point theorem (e.g ... We give a simpler proof via the Kakutani fixed point theorem, following Nash's 1950 paper (he credits David Gale with the observation that such a simplification is possible) ... The existence of a Nash Equilibrium is equivalent to having a fixed point ...
List Of Theorems - B
... BEST theorem (graph theory) Babuška–Lax–Milgram theorem (partial differential equations) Baily–Borel theorem (algebraic geometry) Baire category theorem (topology, metric spaces ...

### Famous quotes containing the words theorem, fixed and/or point:

To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
Albert Camus (1913–1960)

Museums, museums, museums, object-lessons rigged out to illustrate the unsound theories of archaeologists, crazy attempts to co-ordinate and get into a fixed order that which has no fixed order and will not be co-ordinated! It is sickening! Why must all experience be systematized?... A museum is not a first-hand contact: it is an illustrated lecture. And what one wants is the actual vital touch.
—D.H. (David Herbert)

What I am anxious to do is to secure my legislation.... What I want to do is to get through that, and if I can point to a record of usefulness of that kind, I am entirely willing to quit office.
William Howard Taft (1857–1930)