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) ...
... 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)