In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a...

Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f...

In mathematics, a number of fixed-point theorems in infinite-dimensional spaces generalise the Brouwer fixed-point theorem. They have applications, for...

space Kakutani fixed-point theorem Kleene fixed-point theorem Knaster–Tarski theorem Lefschetz fixed-point theorem Nielsen fixed-point theorem Poincaré–Birkhoff...

critic for The New York Times. The Kakutani fixed-point theorem is a generalization of Brouwer's fixed-point theorem, holding for generalized correspondences...

references). Fixed-point theorems Banach fixed-point theorem Kakutani fixed-point theorem F. F. Bonsall, Lectures on some fixed point theorems of functional analysis...

In mathematics, the Markov–Kakutani fixed-point theorem, named after Andrey Markov and Shizuo Kakutani, states that a commuting family of continuous affine...

the Kakutani fixed-point theorem in his 1950 paper to prove existence of equilibria. His 1951 paper used the simpler Brouwer fixed-point theorem for the...

equilibrium of a game is a fixed point of the game's best response correspondence. John Nash exploited the Kakutani fixed-point theorem for his seminal paper...

mathematics, Kakutani's theorem may refer to: the Kakutani fixed-point theorem, a fixed-point theorem for set-valued functions; Kakutani's theorem (geometry):...

critic Shizuo Kakutani (1911–2004), Japanese-American mathematician Kakutani fixed-point theorem This page lists people with the surname Kakutani. If an internal...

to do so. Envelope theorem Brouwer fixed point theorem Kakutani fixed point theorem for correspondences Michael selection theorem Ok, Efe (2007). Real...

of PPAD-complete problems. Sperner's lemma Brouwer fixed-point theorem Kakutani fixed-point theorem Nash equilibrium Core of Balanced Games Fisher market...

equations) Markov tree Markov's theorem Markov time Markov brothers' inequality Markov–Krein theorem Markov–Kakutani fixed-point theorem Quantum Markov semigroup...

Markov-Kakutani fixed-point theorem - abelian semigroup of continuous affine self-maps on compact convex set in a topological vector space has a fixed point...

unit circle leaves the point (0,0) fixed. Notice that the Kakutani theorem does not assert that there exists exactly one fixed point. Reflecting the unit disk...

Borsuk–Ulam theorem states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point. Here...

there is a point y in X such that y ∈ F ( y ) {\displaystyle y\in F(y)} . This is a discrete analogue of the Kakutani fixed-point theorem, and the function...

well-known to have remarked long before Popper: "[i]f tolerance is taken to the point where it tolerates the destruction of those same principles that made tolerance...

Abilene paradox Centipede game Collective action problem Externality Folk theorem (game theory) Free-rider problem Gift-exchange game Hobbesian trap Innocent...

successful landing and must be careful not to block themself. Hales–Jewett theorem m,n,k-game Number Scrabble Garcia, Dan. "GamesCrafters: Tic-Tac-Toe". gamescrafters...

Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the...

In game theory, Zermelo's theorem is a theorem about finite two-person games of perfect information in which the players move alternately and in which...

a formal application of Bayes' theorem⁠ — among them books by Gill and Henze. Use of the odds form of Bayes' theorem, often called Bayes' rule, makes...

In game theory, a focal point (or Schelling point) is a solution that people tend to choose by default in the absence of communication in order to avoid...

closed Discontinuous linear map Kakutani fixed-point theorem – Fixed-point theorem for set-valued functions Open mapping theorem (functional analysis) – Condition...

differential inclusions and related subjects as game theory, where the Kakutani fixed-point theorem for set-valued functions has been applied to prove existence...

traditionally rely on fixed-point theorems such as Brouwer fixed-point theorem for functions (or, more generally, the Kakutani fixed-point theorem for set-valued...

In combinatorial game theory, the Sprague–Grundy theorem states that every impartial game under the normal play convention is equivalent to a one-heap...

value. Glicksberg, I. L. (1952). A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points. Proceedings of...