Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity

GN Ogwo, C Izuchukwu, OT Mewomo - Numerical Algorithms, 2021 - Springer
In solving the split variational inequality problems, very few methods have been considered
in the literature and most of these few methods require the underlying operators to be co …

Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems

GN Ogwo, C Izuchukwu, Y Shehu… - Journal of Scientific …, 2022 - Springer
In this paper, we present two new relaxed inertial subgradient extragradient methods for
solving variational inequality problems in a real Hilbert space. We establish the …

Strong convergence results for quasimonotone variational inequalities

TO Alakoya, OT Mewomo, Y Shehu - Mathematical Methods of Operations …, 2022 - Springer
A survey of the existing literature reveals that results on quasimonotone variational
inequality problems are scanty in the literature. Moreover, the few existing results are either …

Convergence of Tseng-type self-adaptive algorithms for variational inequalities and fixed point problems

Y Yao, N Shahzad, JC Yao - Carpathian Journal of Mathematics, 2021 - JSTOR
In this paper, we present a Tseng-type self-adaptive algorithm for solving a variational
inequality and a fixed point problem involving pseudomonotone and pseudocontractive …

A new method for solving split variational inequality problems without co-coerciveness

C Izuchukwu, AA Mebawondu, OT Mewomo - Journal of Fixed Point …, 2020 - Springer
In solving the split variational inequality problems in real Hilbert spaces, the co-coercive
assumption of the underlying operators is usually required and this may limit its usefulness …

Strong convergence of forward–reflected–backward splitting methods for solving monotone inclusions with applications to image restoration and optimal control

C Izuchukwu, S Reich, Y Shehu, A Taiwo - Journal of Scientific Computing, 2023 - Springer
In this paper, we propose and study several strongly convergent versions of the forward–
reflected–backward splitting method of Malitsky and Tam for finding a zero of the sum of two …

Revisiting subgradient extragradient methods for solving variational inequalities

B Tan, X Qin, SY Cho - Numerical Algorithms, 2022 - Springer
In this paper, several extragradient algorithms with inertial effects and adaptive non-
monotonic step sizes are proposed to solve pseudomonotone variational inequalities in real …

Relaxed inertial methods for solving split variational inequality problems without product space formulation

GN Ogwo, C Izuchukwu, OT Mewomo - Acta Mathematica Scientia, 2022 - Springer
Many methods have been proposed in the literature for solving the split variational inequality
problem. Most of these methods either require that this problem is transformed into an …

Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems

B Tan, X Qin, JC Yao - Journal of Global Optimization, 2022 - Springer
This paper investigates some inertial projection and contraction methods for solving
pseudomonotone variational inequality problems in real Hilbert spaces. The algorithms use …

Strongly convergent inertial extragradient type methods for equilibrium problems

Y Shehu, C Izuchukwu, JC Yao, X Qin - Applicable Analysis, 2023 - Taylor & Francis
This paper studies modified extragradient methods with inertial extrapolation step and self-
adaptive step-sizes for solving equilibrium problems in real Hilbert spaces. Strong …