Fast and simple Bregman projection methods for solving variational inequalities and related problems in Banach spaces

A Gibali, LO Jolaoso, OT Mewomo, A Taiwo - Results in Mathematics, 2020 - Springer
In this paper, we study the problem of finding a common solution to variational inequality
and fixed point problems for a countable family of Bregman weak relatively nonexpansive …

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 …

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 …

[PDF][PDF] Strong convergence of an inertial forward-backward splitting method for accretive operators in real Banach space

HA Abass, C Izuchukwu, OT Mewomo, QL Dong - Fixed Point Theory, 2020 - academia.edu
The main purpose of this paper is to introduce a modified inertial forward-backward splitting
method and prove its strong convergence to a zero of the sum of two accretive operators in …

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 …

Iterative algorithms for solutions of Hammerstein equations in real Banach spaces

CE Chidume, A Adamu, LC Okereke - Fixed Point Theory and …, 2020 - Springer
Let B be a uniformly convex and uniformly smooth real Banach space with dual space B∗
B^*. Let F: B→ B∗ F:B→B^*, K: B∗→ BK:B^*→B be maximal monotone mappings. An …

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 …

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 …

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 …