Due to their extraordinary utility and broad applicability in many areas of classical
mathematics and modern physical sciences (most notably, computerized tomography) …

A possible starting point in judging the merits of the book would be the idea that it is a drop
in an ocean of intensive and extensive research work. Consequently, our aim was to …

In the first part of this monograph (Chapters 1 to 5), we explore selected geometric
properties of Banach spaces that will play crucial roles in our study of iterative algorithms for …

This paper surveys some of the main convergence properties of the Mann-type iteration for
the demicontractive mappings. Some variants of the Mann iteration that ensure the strong …

We consider a wide class of iterative methods arising in numerical mathematics and
optimization that are known to converge only weakly. Exploiting an idea originally proposed …

This paper deals with an iterative method, in a real Hilbert space, for approximating a
common element of the set of fixed points of a demicontractive operator (possibly quasi …

Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging,
presented here for the first time, we introduce and study the class of enriched nonexpansive …

In this paper, we discuss the strong convergence of the viscosity approximation method, in
Hilbert spaces, relatively to the computation of fixed points of operators in the wide class of …

This paper deals with fixed points methods related to the general class of demicontractive
mappings (including the well-known classes of nonexpansive and quasi-nonexpansive …

Convergence theorems for approximation of common fixed points of strictly
pseudocontractive mappings of Browder–Petryshyn type are proved in Banach spaces …