accretive operator

accretive operator

[ə¦krēd·iv ′äp·ə‚rād·ər]
(mathematics)
A linear operator T defined on a subspace D of a Hilbert space which satisfies the following condition: the real part of the inner product of Tu with u is nonnegative for all u belonging to D.
References in periodicals archive ?
Then, the ((3 - 2K - [K.sub.1])/(3 - K))-strongly accretive operator (I - T) satisfies
Note that if G is an accretive operator on [L.sub.2e]([R.sub.+]; [R.sup.p]) then [(Gx - Gy, x - y).sub.T] [greater than or equal to] 0 for each x, y [member of] D(G).
[7] Let A be an m accretive operator and g [member of] [L.sup.1]([0, T]; E).
Crandall, Nonlinear semigroups and evolutions governed by accretive operators. In F.
An accretive operator A is said to be maximal accretive if there is no proper accretive extension of A.
Let [Q.sub.C] be a sunny nonexpansive retraction from E onto C and let A be an accretive operator of C into E.
Xu, Ishikawa and Mann iteration process with errors for nonlinear strongly accretive operator equations, J.
Huang, Three-step iterations for nonlinear accretive operator equations, J.
Takahashi: Weak convergence of an iterative sequence for accretive operators in Banach spaces, Fixed Point Theory Appl., 2006(2006), Article ID 35390, 13 pages.
Huang, Convergence theorems for multivalue [phi]-hemicontractive operators and [phi]-strongly accretive operators, Comput.
Xu: Iterative solutions for zeros of accretive operators, Math.
Deimling, Zeroes of accretive operators, Manuscripts Math., 13(1974), 365-374.