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 …

A new generalized quasi-newton algorithm based on structured diagonal hessian approximation for solving nonlinear least-squares problems with application to 3dof …

MM Yahaya, P Kumam, AM Awwal, P Chaipunya… - IEEE …, 2022 - ieeexplore.ieee.org
Many problems in science and engineering can be formulated as nonlinear least-squares
(NLS) problems. Thus, the need for efficient algorithms to solve these problems can not be …

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 …

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 …

Relaxed viscosity-type iterative methods with application to compressed sensing

J Deepho, A Adamu, AH Ibrahim, AB Abubakar - The Journal of Analysis, 2023 - Springer
An acceleration strategy via relaxation technique is incorporated in a viscosity-type method
to approximate solutions of monotone inclusion problems that are fixed points of a …

A New four-step iterative procedure for approximating fixed points with Application to 2D Volterra integral equations

HA Hammad, HU Rehman, M De la Sen - Mathematics, 2022 - mdpi.com
This work is devoted to presenting a new four-step iterative scheme for approximating fixed
points under almost contraction mappings and Reich–Suzuki-type nonexpansive mappings …

[PDF][PDF] A generalized Halpern-type forward-backward splitting algorithm for solving variational inclusion problems.

P Dechboon, A Adamu, P Kumam - Applied Mathematics for …, 2023 - aimspress.com
In this paper, we investigate the problem of finding a zero of sum of two accretive operators
in the setting of uniformly convex and q-uniformly smooth real Banach spaces (q> 1). We …

[PDF][PDF] A technique with diminishing and non-summable step-size for monotone inclusion problems in banach spaces

A Adamu, DU Ozsahin, AH Ibrahim… - Nonlinear Functional …, 2023 - nfaa.kyungnam.ac.kr
In this paper, an algorithm for approximating zeros of sum of three monotone operators is
introduced and its convergence properties are studied in the setting of 2-uniformlyconvex …

A parallel method for common variational inclusion and common fixed point problems with applications

T Mouktonglang, K Poochinapan… - Carpathian Journal of …, 2023 - JSTOR
In this paper, we construct a new parallel method to solve common variational inclusion and
common fixed point problems in a real Hilbert space. We obtain a weak convergence …