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 …

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 …

On the strong convergence of the proximal point algorithm with an application to Hammerstein euations

CE Chidume, A Adamu, MS Minjibir… - Journal of Fixed Point …, 2020 - Springer
Let E be a real normed space. A new notion of quasi-boundedness for operators A: E → 2^
EA: E→ 2 E is introduced and the following general important result for accretive operators is …

An inertial algorithm for solving Hammerstein equations

CE Chidume, A Adamu, MO Nnakwe - Symmetry, 2021 - mdpi.com
An inertial algorithm for solving Hammerstein equations is presented. This algorithm is
obtained as a consequence of a new inertial algorithm proposed and studied for solving …

Solving split equality fixed point problem for quasi-phi-nonexpansive mappings

CE Chidume, A Adamu - Thai Journal of Mathematics, 2021 - thaijmath2.in.cmu.ac.th
An iterative algorithm is constructed to approximate solutions of split equality fixed point
problem (SEFPP) for quasi-$\phi $-nonexpansive mappings in real Banach spaces more …

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

A Adamu, DU Ozsahin, AH Ibrahim… - Nonlinear Functional …, 2023 - nfaa.kyungnam.ac.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-uniformlyconvex …

An Inertial Algorithm of Generalized f-Projection for Maximal Monotone Operators and Generalized Mixed Equilibrium Problems in Banach Spaces

L Umar, TM Kabir, IU Haruna - African Scientific Reports, 2022 - asr.nsps.org.ng
In this paper, we study a modified hybrid inertial algorithm of generalized f-projection for
approximating maximal monotone operators and solutions of generalized mixed equilibrium …

New iterative methods for finding solutions of Hammerstein equations

OA Boikanyo, H Zegeye - Journal of Applied Mathematics and Computing, 2023 - Springer
Abstract Let G: H→ H and K: H→ H be monotone mappings that are either sequentially
weakly continuous or continuous, where H is a real Hilbert space. In this work, we introduce …

Algorithm for solutions of nonlinear equations of strongly monotone type and applications to convex minimization and variational inequality problems

MO Aibinu, SC Thakur, S Moyo - Abstract and Applied Analysis, 2020 - Wiley Online Library
Real‐life problems are governed by equations which are nonlinear in nature. Nonlinear
equations occur in modeling problems, such as minimizing costs in industries and …