for a representation of S as Lipschitzian mappings on a compact convex subset C of a smooth Banach space E with respect to a left regular sequence {μ n } of means defined on an appropriate invariant subspace of l ∞ (S).
for a representation of S as Lipschitzian mappings on a compact and convex subset C of a smooth Banach space E with respect to a left regular sequence { μ n } of means defined on an appropriate invariant subspace of l ∞ ( S ) ; for some related results, we refer the readers to [8, 9].
(i the real sequences,, and have elements in of sum being identity, for all ; (ii) is a representation of a left reversible semigroup with identity being asymptotically nonexpansive, on a compact convex subset of a smooth Banach space, with respect to a left-regular sequence of means defined on an appropriate invariant subspace of ; (iii) is a contraction on.
These assumptions are in particular fulfilled by the classical Poisson measures and by a large class of tempered grandcanonical Gibbs measures with respect to a superstable lower regular pair potential.
The concepts of quasi-nonexpansive mappings, with respect to a sequence and asymptotically regular mappings at a point were given in metric spaces as follows.
Using -strongly accretive and -strictly pseudocontractive mapping, we introduce a general iterative method for finding a common fixed point of a semigroup of non-expansive mappings in a Hilbert space, with respect to a sequence of left regular means defined on an appropriate space of bounded real-valued functions of the semigroup.
Concretes were produced with 10, 30, and 50% (in volume of fine aggregates) of CGA, with respect to a reference mixture, which contained a regular siliceous river sand.
for an asymptotically nonexpansive semigroup φ = { T s : s ∈ S } on a compact convex subset C of a smooth Banach space E with respect to a finite family of left regular sequences { μ i, n } i = 1, n = 1 m, ∞ of invariant means defined on an appropriate invariant subspace of l ∞ ( S ).
We construct a Toeplitz projection for every regular A-isometry T∈B(H n on a complex Hilbert space H and use it to determine the essential commutant of the set of all analytic Toeplitz operators formed with respect to an essentially normal regular A-isometry.
Since B is uniformly asymptotically regular with respect to A, it follows that (3.21).
