mathematical object X has the fixed-point property if every suitably well-behaved mapping from X to itself has a fixed point. The term is most commonly used...

In mathematics, a fixed point (sometimes shortened to fixpoint), also known as an invariant point, is a value that does not change under a given transformation...

in untyped lambda calculus has a fixed point Fixed-point lemma for normal functions Fixed-point property Fixed-point theorems in infinite-dimensional...

In combinatory logic for computer science, a fixed-point combinator (or fixpoint combinator): p.26  is a higher-order function (i.e., a function which...

The Browder fixed-point theorem is a refinement of the Banach fixed-point theorem for uniformly convex Banach spaces. It asserts that if K {\displaystyle...

fixed point (lfp or LFP, sometimes also smallest fixed point) of a function from a partially ordered set ("poset" for short) to itself is the fixed point...

In mathematics, the Lefschetz fixed-point theorem is a formula that counts the fixed points of a continuous mapping from a compact topological space X...

characteristic – Topological invariant in mathematics Fixed-point property – Mathematical property Homology and cohomology Homotopy group and Cohomotopy...

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...

then usually is looking for the smallest set that has the property of being a fixed point of the function f. Abstract interpretation makes ample use...

an infrared fixed point that is independent of the initial short distance dynamics that defines the material. This determines the properties of the phase...

theory, the Kleene fixed-point theorem, named after American mathematician Stephen Cole Kleene, states the following: Kleene Fixed-Point Theorem. Suppose...

The fixed-point lemma for normal functions is a basic result in axiomatic set theory stating that any normal function has arbitrarily large fixed points...

Hilbert space has a fixed point (property (FH)). If H is a closed subgroup of G, the pair (G,H) is said to have relative property (T) of Margulis if there...

In mathematical logic, fixed-point logics are extensions of classical predicate logic that have been introduced to express recursion. Their development...

on S with the following properties: φ has a closed graph; φ(x) is non-empty and convex for all x ∈ S. Then φ has a fixed point. Set-valued function A set-valued...

proved that dendroids have the fixed-point property: Every continuous function from a dendroid to itself has a fixed point. Cook (1970) proved that every...

American publisher First-person perspective Fish protein powder Fixed-point property Fixed-priority pre-emptive scheduling Floating power plant Forest Peoples...

Continuous fixed-point theorems often require a convex set. The analogue of this property for discrete sets is an integrally-convex set. A fixed point of a...

corollary is that any even-dimensional projective space has the fixed-point property. This follows from the previous result by lifting continuous functions...

set of fixed points is either empty or an affine space. For an object, any unique centre and, more generally, any point with unique properties with respect...

such that a point on the rigid body remains fixed, is equivalent to a single rotation about some axis that runs through the fixed point. It also means...

In mathematics, the common fixed point problem is the conjecture that, for any two continuous functions that map the unit interval into itself and commute...

In mathematics, Lawvere's fixed-point theorem is an important result in category theory. It is a broad abstract generalization of many diagonal arguments...

hyperbolic equilibrium point or hyperbolic fixed point is a fixed point that does not have any center manifolds. Near a hyperbolic point the orbits of a two-dimensional...

\,\mathbf {x} _{n}\right){\text{ for }}t>0} The first property implies the fixed point property, that for all k > 0, C(k, k, ..., k) = k It is not monotonic...

vector space has a fixed point. For locally compact abelian groups, this property is satisfied as a result of the Markov–Kakutani fixed-point theorem. Irreducible...

Martínez-Fernández, J. (2007). Maximal Three-Valued Clones with the Gupta-Belnap Fixed-Point Property. Notre Dame Journal of Formal Logic 48: 449–472. McDowell, J. (2009)...

computing, floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a significand (a signed sequence of a fixed number of digits...

Intellectual property (IP) is a category of property that includes intangible creations of the human intellect. There are many types of intellectual property, and...