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 …

On fixed-point equations involving Geraghty-type contractions with solution to integral equation

MP Singh, Y Rohen, N Saleem, KH Alam, KA Singh… - Mathematics, 2023 - mdpi.com
In this study, the authors verify fixed-point results for Geraghty contractions with a restricted
co-domain of the auxiliary function in the context of generalized metric structure, namely the …

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 …

An accelerated Halpern-type algorithm for solving variational inclusion problems with applications

A Adamu, D Kitkuan… - … International Journal of …, 2022 - bangmodjmcs.com
An inertial Halpern-type forward-backward iterative algorithm for approximating a zero of
sum of two accretive operators is introduced and studied. Strong convergence theorem is …

Inertial method for solving split equality Hammerstein-type equation problems in reflexive Banach spaces

Y Abebe Belay, H Zegeye, OA Boikanyo - Optimization, 2023 - Taylor & Francis
The purpose of this paper is to introduce an inertial scheme for solving Hammerstein-type
equation problems in general reflexive real Banach spaces, where the underlying mappings …

[PDF][PDF] An accelerated algorithm involving quasi-φ-nonexpansive operators for solving split problems

AAA Bashir Ali, A Adamu - … Modeling and Analysis http://jnma. ca; …, 2023 - doc.global-sci.org
In this paper, an algorithm of inertial type for approximating solutions of split equality fixed
point problems involving quasi-φ-nonexpansive maps is proposed and studied in the setting …

AN ALGORITHM FOR APPROXIMATING SOLUTIONS OF SPLIT HAMMERSTEIN INTEGRAL EQUATIONS

AU Bello, MO Nnakwe, AA Adam - … International Journal of …, 2023 - bangmodjmcs.com
AN ALGORITHM FOR APPROXIMATING SOLUTIONS OF SPLIT HAMMERSTEIN INTEGRAL
EQUATIONS Page 1 Volume 9 (2023) Pages 92–101 AN ALGORITHM FOR APPROXIMATING …