AN INERTIAL ALGORITHM WITH A SELF-ADAPTIVE STEP SIZE FOR A SPLIT EQUILIBRIUM PROBLEM AND A FIXED POINT PROBLEM OF AN INFINITE FAMILY …

TO Alakoya, ASOE Owolabi… - Journal of Nonlinear & …, 2021 - search.ebscohost.com
In this paper, we study a split equilibrium problem and a fixed point problem with an infinite
family of strict pseudo-contractive mappings. We introduce a new inertial iterative scheme …

Reckoning solution of split common fixed point problems by using inertial self-adaptive algorithms

R Suparatulatorn, S Suantai… - Revista de la Real …, 2019 - Springer
In this paper, we construct a novel algorithm for the split common fixed point problem for two
demicontractive operators in Hilbert spaces. By using inertial self-adaptive algorithms, we …

Viscosity S-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems

TO Alakoya, OT Mewomo - Computational and Applied Mathematics, 2022 - Springer
Several efficient methods have been developed in the literature for approximating solutions
of fixed point and optimization problems. However, the S-iteration process has been shown …

[HTML][HTML] Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces

GN Ogwo, TO Alakoya, OT Mewomo - Demonstratio Mathematica, 2022 - degruyter.com
In this paper, we propose and study a new inertial iterative algorithm with self-adaptive step
size for approximating a common solution of finite family of split monotone variational …

Inertial algorithm with self-adaptive step size for split common null point and common fixed point problems for multivalued mappings in Banach spaces

TO Alakoya, LO Jolaoso, A Taiwo, OT Mewomo - Optimization, 2022 - Taylor & Francis
In this article we introduce an inertial iterative scheme with self-adaptive step size for finding
a common solution of split common null point problem for a finite family of maximal …

[HTML][HTML] An inertially constructed forward–backward splitting algorithm in Hilbert spaces

Y Arfat, P Kumam, MAA Khan… - Advances in Difference …, 2021 - Springer
In this paper, we develop an iterative algorithm whose architecture comprises a modified
version of the forward–backward splitting algorithm and the hybrid shrinking projection …

[HTML][HTML] Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of …

MA Olona, TO Alakoya, AOE Owolabi… - Demonstratio …, 2021 - degruyter.com
In this paper, we introduce a shrinking projection method of an inertial type with self-
adaptive step size for finding a common element of the set of solutions of a split generalized …

[HTML][HTML] Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces

Y Arfat, P Kumam, PS Ngiamsunthorn… - Advances in Difference …, 2020 - Springer
In this paper, we study a modified extragradient method for computing a common solution to
the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real …

An accelerated hybrid projection method with a selfadaptive stepsize sequence for solving split common fixed point problems

Z Zhou, B Tan, S Li - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
This paper attempts to solve the split common fixed point problem for demicontractive
mappings. We give an accelerated hybrid projection algorithm that combines the hybrid …

[PDF][PDF] An inertial forward-backward splitting method for approximating solutions of certain optimization problems

HA Abass, KO Aremu, LO Jolaoso… - Nonlinear Funct …, 2020 - researchgate.net
The purpose of this paper is to introduce an inertial-type iterative algorithm for approximating
solutions of a split general system of variational inequalities, minimization problems and …