fixed point
31fixed point — noun 1》 Physics a well defined reproducible temperature which can be used as a reference point, e.g. one defined by a change of phase. 2》 [as modifier] Computing denoting a mode of representing a number by a single sequence of digits whose values …
32Kakutani fixed point theorem — In mathematical analysis, the Kakutani fixed point theorem is a fixed point theorem for set valued functions. It provides sufficient conditions for a set valued function defined on a convex, compact subset of a Euclidean space to have a fixed… …
33Brouwer fixed point theorem — In mathematics, the Brouwer fixed point theorem is an important fixed point theorem that applies to finite dimensional spaces and which forms the basis for several general fixed point theorems. It is named after Dutch mathematician L. E. J.… …
34Banach fixed-point theorem — In mathematics, the Banach fixed point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of… …
35Banach fixed point theorem — The Banach fixed point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self maps… …
36Lefschetz fixed-point theorem — In mathematics, the Lefschetz fixed point theorem is a formula that counts the number of fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X . It …
37Infrared fixed point — In physics, an infrared fixed point is a set ofcoupling constants, or other parameters that evolve from initial values at very high energies (short distance), to fixed stable values,usually predictable, at low energies (large distance). This… …
38Atiyah–Bott fixed-point theorem — In mathematics, the Atiyah–Bott fixed point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed point theorem for smooth manifolds M , which uses an elliptic complex on M . This is a system of… …
39Caristi 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… …
40Least fixed point — In order theory, a branch of mathematics, the least fixed point (lfp or LFP) of a function is the fixed point which is less than or equal to all other fixed points, according to some partial order. For example, the least fixed point of the real… …
