The main aim of this paper is to study the strong convergence of Halpern iteration for firmly
type nonexpansive mappings defined on a Banach space with a uniformly Gâteaux …

A class of nonlinear operators in Banach spaces is proposed. We call each operator in this
class a firmly nonexpansive-type mapping. This class contains the classes of firmly …

Strong convergence of an iterative method for nonexpansive mappings with new control
conditions - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Strong convergence theorems for a finite family of nonexpansive mappings and semigroups
via the hybrid method - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals …

Motivated by T. Suzuki, we show strong convergence theorems of the CQ method for
nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical …

In this paper, we study monotone hybrid method for finding a commonfixed point of a family
of generalized nonexpansive mappings and then prove astrong convergence theorem for a …

A new nonexpansive mapping in a Banach space which is called generalized nonexpansive
was introduced by the authors [4]. In this paper, we prove a weak convergence theorem for …

The purpose of this paper is to introduce a new hybrid projection algorithm for finding a
common element of the set of common fixed points of two relatively quasi-nonexpansive …

In this paper, we prove three strong convergence theorems of modified Mann iteration for
relatively asymptotically nonexpansive mappings, relatively nonexpansive mappings, and …