A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems

TO Alakoya, VA Uzor, OT Mewomo - Computational and Applied …, 2023 - Springer
Several authors have studied and proposed different iterative methods for approximating a
common solution of variational inequality problem and other optimization problems. In …

On a system of monotone variational inclusion problems with fixed-point constraint

TO Alakoya, VA Uzor, OT Mewomo, JC Yao - Journal of Inequalities and …, 2022 - Springer
In this paper, we study the problem of finding the solution of the system of monotone
variational inclusion problems recently introduced by Chang et al.(Optimization 70 (12) …

Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces

Y Shehu - Results in Mathematics, 2019 - Springer
It is well known that many problems in image recovery, signal processing, and machine
learning can be modeled as finding zeros of the sum of maximal monotone and Lipschitz …

Iterative methods for generalized split feasibility problems in Hilbert spaces

W Takahashi, HK Xu, JC Yao - Set-Valued and Variational Analysis, 2015 - Springer
Generalized split feasibility problems governed by generalized hybrid mappings are studied
via iterative methods. Several algorithms are introduced to solve them. In particular, weak …

Strong convergence of forward–reflected–backward splitting methods for solving monotone inclusions with applications to image restoration and optimal control

C Izuchukwu, S Reich, Y Shehu, A Taiwo - Journal of Scientific Computing, 2023 - Springer
In this paper, we propose and study several strongly convergent versions of the forward–
reflected–backward splitting method of Malitsky and Tam for finding a zero of the sum of two …

Iterative methods for solving the generalized split common null point problem in Hilbert spaces

S Reich, TM Tuyen - Optimization, 2020 - Taylor & Francis
Full article: Iterative methods for solving the generalized split common null point problem in
Hilbert spaces Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators

V Dadashi, M Postolache - Arabian Journal of Mathematics, 2020 - Springer
In this paper, we construct a forward–backward splitting algorithm for approximating a zero
of the sum of an α α-inverse strongly monotone operator and a maximal monotone operator …

Two new self-adaptive algorithms for solving the split common null point problem with multiple output sets in Hilbert spaces

S Reich, TM Tuyen - Journal of Fixed Point Theory and Applications, 2021 - Springer
Two new self-adaptive algorithms for solving the split common null point problem with multiple
output sets in Hilbert spaces | Journal of Fixed Point Theory and Applications Skip to main …

Strong convergence of a splitting algorithm for treating monotone operators

SY Cho, X Qin, L Wang - Fixed Point Theory and Applications, 2014 - Springer
Strong convergence of a splitting algorithm for treating monotone operators | Fixed Point
Theory and Algorithms for Sciences and Engineering Skip to main content SpringerLink …

Inertial viscosity-type iterative method for solving inclusion problems with applications

A Adamu, D Kitkuan, A Padcharoen… - … and Computers in …, 2022 - Elsevier
An inertial viscosity-type iterative method that approximates a solution of an inclusion
problem and a fixed point problem is introduced and studied. Strong convergence theorem …