monotone operator
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Pseudo-monotone operator — In mathematics, a pseudo monotone operator from a reflexive Banach space into its continuous dual space is one that is, in some sense, almost as well behaved as a monotone operator. Many problems in the calculus of variations can be expressed… … Wikipedia
Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… … Wikipedia
Closure operator — In mathematics, a closure operator on a set S is a function cl: P(S) → P(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y ⊆ S. X ⊆ cl(X) (cl is extensive) X ⊆ Y implies cl(X) ⊆ cl(Y) (cl… … Wikipedia
Strongly monotone — In functional analysis, an operator A:X o X where X is a real Hilbert space is said to be strongly monotone if:exists,c>0 mbox{ s.t. } (Au Av | u v)geq c |u v|^2 quad forall u,vin X.This is analogous to the notion of strictly increasing for… … Wikipedia
Baskakov operator — In functional analysis, a branch of mathematics, the Baskakov operators are generalizations of Bernstein polynomials, Szász Mirakyan operators, and Lupas operators. They are defined by: [mathcal{L} n(f)] (x) = sum {k=0}^infty {( 1)^k… … Wikipedia
Monotonic function — Monotonicity redirects here. For information on monotonicity as it pertains to voting systems, see monotonicity criterion. Monotonic redirects here. For other uses, see Monotone (disambiguation). Figure 1. A monotonically increasing function (it… … Wikipedia
Algorithme proximal — En analyse numérique, l algorithme proximal (ou algorithme du point proximal) est un algorithme itératif de calcul d un zéro d un opérateur monotone maximal. Si cet opérateur est non linéaire, chaque itération requiert la résolution d un problème … Wikipédia en Français
List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… … Wikipedia
Browder-Minty theorem — In mathematics, the Browder Minty theorem states that a bounded, continuous, coercive and monotone function T from a real, reflexive Banach space X into its continuous dual space X ∗ is automatically surjective. That is, for each continuous… … Wikipedia
Kachurovskii's theorem — In mathematics, Kachurovskii s theorem is a theorem relating the convexity of a function on a Banach space to the monotonicity of its Fréchet derivative.tatement of the theoremLet K be a convex subset of a Banach space V and let f : K rarr; R… … Wikipedia
Monotonically normal space — In mathematics, a monotonically normal space is a particular kind of normal space, with some special characteristics, and is such that it is hereditarily normal, and any two separated subsets are strongly separated. They are defined in terms of a … Wikipedia
