On generic convergence of successive approximations of mappings with convex and compact point images. [PDF]
Bargetz C, Medjic E, Pirk K.
europepmc +1 more source
In this paper, we prove the weak and strong convergence of an explicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex ...
Kiziltunc, H, Purtas, Y
core
Subinvariant Metric Functionals for Nonexpansive Mappings
We investigate the existence of subinvariant metric functionals for commuting families of nonexpansive mappings in noncompact subsets of Banach spaces. Our findings underscore the practicality of metric functionals when searching for fixed points of nonexpansive mappings.
Gutiérrez, Armando W. +1 more
openaire +2 more sources
On compositions of special cases of Lipschitz continuous operators. [PDF]
Giselsson P, Moursi WM.
europepmc +1 more source
The general iterative methods for nonexpansive mappings in Banach spaces
Iterative approximation method, Nonexpansive mapping, Strong convergence theorem, Banach space, Common fixed point, 47H05, 47H09, 47J25, 65J15,
Narin Petrot +2 more
core +1 more source
Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces
In this paper, we study hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach ...
G. S. Saluja
doaj +2 more sources
Momentum-Net: Fast and Convergent Iterative Neural Network for Inverse Problems. [PDF]
Chun IY, Huang Z, Lim H, Fessler JA.
europepmc +1 more source
Inertial Krasnosel’skiĭ-Mann iterative algorithm with step-size parameters involving nonexpansive mappings with applications to solve image restoration problems [PDF]
In this work, we propose and study an inertial Krasnosel’ski˘ ı-Mann iterative algorithm with step-size parameters involving nonexpansive mapping to find a solution of a fixed point problem of a nonexpansive mapping in the frame work of Hilbert spaces ...
Plubtieng, S. +5 more
core +1 more source
In this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings with a variational inequality constraint in the setting of a ...
Vasile Berinde, Khairul Saleh
doaj +1 more source
A simple computational algorithm with inertial extrapolation for generalized split common fixed point problems. [PDF]
Gebrie AG, Bedane DS.
europepmc +1 more source

