An inertial Halpern-type algorithm involving monotone operators on real Banach spaces with application to image recovery problems

K Muangchoo, A Adamu, AH Ibrahim… - … and Applied Mathematics, 2022 - Springer
In this work, an inertial Halpern-type algorithm involving monotone operators is proposed in
the setting of real Banach spaces that are 2-uniformly convex and uniformly smooth. Strong …

An accelerated Halpern-type algorithm for solving variational inclusion problems with applications

A Adamu, D Kitkuan… - … International Journal of …, 2022 - bangmodjmcs.com
An inertial Halpern-type forward-backward iterative algorithm for approximating a zero of
sum of two accretive operators is introduced and studied. Strong convergence theorem is …

Approximation of zeros of sum of monotone mappings with applications to variational inequality and image restoration problems

A Adamu, J Deepho, AH Ibrahim… - … Functional Analysis and …, 2021 - koreascience.kr
In this paper, an inertial Halpern-type forward backward iterative algorithm for approximating
solution of a monotone inclusion problem whose solution is also a fixed point of some …

[HTML][HTML] Approximation method for monotone inclusion problems in real Banach spaces with applications

A Adamu, D Kitkuan, P Kumam, A Padcharoen… - Journal of Inequalities …, 2022 - Springer
In this paper, we introduce an inertial Halpern-type iterative algorithm for approximating a
zero of the sum of two monotone operators in the setting of real Banach spaces that are 2 …

Relaxed modified Tseng algorithm for solving variational inclusion problems in real Banach spaces with applications

A Adamu, P Kumam, D Kitkuan, A Padcharoen - Carpathian Journal of …, 2023 - JSTOR
In this paper, relaxed and relaxed inertial modified Tseng algorithms for approximating zeros
of sum of two monotone operators whose zeros are fixed points or J-fixed points of some …

[HTML][HTML] A fast fixed-point algorithm for convex minimization problems and its application in image restoration problems

P Thongpaen, R Wattanataweekul - Mathematics, 2021 - mdpi.com
In this paper, we introduce a new iterative method using an inertial technique for
approximating a common fixed point of an infinite family of nonexpansive mappings in a …

[HTML][HTML] Inertial Mann-type algorithm for a nonexpansive mapping to solve monotone inclusion and image restoration problems

N Artsawang, K Ungchittrakool - Symmetry, 2020 - mdpi.com
In this article, we establish a new Mann-type method combining both inertial terms and
errors to find a fixed point of a nonexpansive mapping in a Hilbert space. We show strong …

Inertial reflected Krasnosel'ski-Mann iteration with applications to monotone inclusion problems

C Izuchukwu, Y Shehu - Optimization, 2023 - Taylor & Francis
This paper studies an inertial reflected method for the approximation of fixed points
(assuming existence) of nonexpansive mappings in Hilbert spaces. The proposed method is …

[HTML][HTML] A Tseng-type algorithm for approximating zeros of monotone inclusion and J-fixed-point problems with applications

A Adamu, P Kumam, D Kitkuan… - Fixed Point Theory and …, 2023 - Springer
In this paper, a Halpern–Tseng-type algorithm for approximating zeros of the sum of two
monotone operators whose zeros are J-fixed points of relatively J-nonexpansive mappings …

Inertial viscosity forward–backward splitting algorithm for monotone inclusions and its application to image restoration problems

D Kitkuan, P Kumam, J Martínez-Moreno… - … Journal of Computer …, 2020 - Taylor & Francis
Full article: Inertial viscosity forward–backward splitting algorithm for monotone inclusions and
its application to image restoration problems Skip to Main Content Taylor and Francis Online …