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 …

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 …

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 …

[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] Some fixed point results of enriched contractions by Krasnoseljski iterative method in partially ordered Banach spaces

H Faraji, S Radenovic - Trans. A. Razmadze Math. Inst, 2023 - researchgate.net
Some fixed point results of enriched contractions by Krasnoselskij iterative method in partially
ordered Banach spaces Page 1 Some fixed point results of enriched contractions by …

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

A Adamu, DU Ozsahin, AH Ibrahim… - … Functional Analysis and …, 2023 - koreascience.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-uniformly convex …

Halpern-Tseng Type Iterative Technique for Monotone Inclusion Problem and Hierarchical Fixed Point Problem in Banach Space

S Husain, M Asad - International Journal of Applied and Computational …, 2024 - Springer
Abstract The Halpern-Tseng type iterative technique is proposed and investigated in this
study for finding the common element of the solution sets of the monotone inclusion problem …

[PDF][PDF] Convergence Theorems for Common Solutions of Nonlinear Problems and Applications

A Ahmad, P Kumam… - Carpathian Journal of …, 2024 - carpathian.cunbm.utcluj.ro
In this work, two inertial algorithms for approximating common elements of the sets of
solutions of three important problems are constructed. The first problem is a generalized …