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 …

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 …

Generalized hybrid viscosity-type forward-backward splitting method with application to convex minimization and image restoration problems

CE Chidume, A Adamu, P Kumam… - … Functional Analysis and …, 2021 - Taylor & Francis
Let E be a uniformly convex and q-uniformly smooth real Banach space. Let A: E→ E be an
α-inverse strongly accretive mapping of order q, B: E⊸ E be a set-valued m-accretive …

A hybrid inertial algorithm for approximating solution of convex feasibility problems with applications

CE Chidume, P Kumam, A Adamu - Fixed Point Theory and Applications, 2020 - Springer
An inertial iterative algorithm for approximating a point in the set of zeros of a maximal
monotone operator which is also a common fixed point of a countable family of relatively …

Approximation of solutions of split equality fixed point problems with applications

A Adamu, AA Adam - Carpathian Journal of Mathematics, 2021 - JSTOR
In this paper, we introduce and study an inertial algorithm for approximating solutions of split
equality fixed point problem (SEFPP), involving quasi-phi-nonexpansive mappings in …

Strong convergence of an inertial algorithm for maximal monotone inclusions with applications

CE Chidume, A Adamu, MO Nnakwe - Fixed Point Theory and …, 2020 - Springer
An inertial iterative algorithm is proposed for approximating a solution of a maximal
monotone inclusion in a uniformly convex and uniformly smooth real Banach space. The …

[PDF][PDF] Iterative algorithms for split variational inequalities and generalized split feasibility problems with applications

CE Chidume, MO Nnakwe - J. Nonlinear Var. Anal, 2019 - scholar.archive.org
In this paper, we present extragradient and modified extragradient iterative algorithms for
solving a common solution of a finite family of split variational inequalities and generalized …

[PDF][PDF] Strong convergence theorem for some nonexpansive-type mappings in certain Banach spaces

CE Chidume, A Adamu, LC Okereke - Thai Journal of Mathematics, 2020 - academia.edu
Strong Convergence Theorem for Some Nonexpansive-Type Mappings in Certain Banach
Spaces Page 1 ISSN 1686-0209 Thai Journal of Mathematics Volume 18 Number 3 (2020) …

A derivative‐free projection method for nonlinear equations with non‐Lipschitz operator: Application to LASSO problem

AH Ibrahim, P Kumam, AB Abubakar… - … Methods in the …, 2023 - Wiley Online Library
In this paper, we introduce a derivative‐free iterative method for finding the solutions of
convex constrained nonlinear equations (CCNE) using the projection strategy. The new …

Approximation of solutions of Hammerstein equations with monotone mappings in real Banach spaces

CE Chidume, A Adamu, LC Okereke - Carpathian Journal of Mathematics, 2019 - JSTOR
Let E be a uniformly convex and uniformly smooth real Banach space with dual space, E*.
Let F: E→ E*, K: E*→ E be maximal monotone mappings. An iterative algorithm is …