Let T be a (possibly nonlinear) continuous operator on Hilbert space. If, for some starting
vector x, the orbit sequence {T kx, k= 0, 1,...} converges, then the limit z is a fixed point of T; …

Some algorithms in signal and image processing may be formulated in the Krasnoselski–
Mann (KM) iteration form and the KM theorem asserts the convergence of this iteration under …

Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have
been described in many publications. In this monograph we try to present the methods in a …

We introduce and discuss nonlinear iterative methods to recover the minimum-norm solution
of the operator equation Ax= y in Banach spaces X, Y, where A is a continuous linear …

Let C be a closed convex subset of a real Hilbert space H and assume that T: C→ H is a κ-
strict pseudo-contraction such that F (T)={x∈ C: x= Tx}≠ 0̸. Consider the normal Mann's …

This paper deals with a method for approximating a solution of the following fixed-point
problem: find, where is a Hilbert space, P and T are two nonexpansive mappings on a …

The weak and strong convergence of the iterates generated by ${x_ {k+ 1}}=(1-
{t_k}){x_k}+{t_k} T {x_k}({t_k}\in R) $ to a fixed point of the mapping $ T: C\to C $ are …

In [I, 21 Moore'showed that the concept of the inverse of an nxn nonsingular matrix can be
generalized to an mxn (with m# n) matrix. Later the concept of the generalized inverse of an …

Landweber iteration xk+ 1= xk− F′(xk)*(F (xk)− y) for the solution of a nonlinear operator
equation F (x0)= y0 can be viewed as a fixed point iteration with fixed point operator x …

The Mann iterations for nonexpansive mappings have only weak convergence even in a
Hilbert space. We propose two modifications of the Mann iterations in a uniformly smooth …