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

... 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) ...

**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**...

... 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)