n] [subset or equal to] X be an f--statistically

bounded sequence, then the set [[GAMMA].

n[member of]N] is a

bounded sequence of invertible s-by-s real matrices such that ([A.

k]) be the

bounded sequence of strictly positive real numbers with [supp.

In other words [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a

bounded sequence.

This iteration is known as modified Mann iteration with errors, where {un}e X is a

bounded sequence and are error terms and {[a.

Insightful studies for nonconvex problems are presented in [12,13]: if nonconvex structured functions of the type L = f(x) + Q(x, y) + g(y) has the Kurdyka-Lojasiewicz (K-L) property, then each

bounded sequence generated by a proximal alternating minimization algorithm converges to a critical point of L.

n]} be a uniformly

bounded sequence of positive linear operators from [L.

Both of these authors noted that if

bounded sequence is statistically convergent, then it is Cesaro summable.

A simple, but important exponentially

bounded sequence is the sequence [LAMBDA] with [[delta].

A linear operator T: X [right arrow] Y is called a compact operator if it maps every locally

bounded sequence {[x.

r]) [intersection] m(X) using the fact that every

bounded sequence is also [[DELTA].

k]) is a

bounded sequence and hence an analytic sequence.