Subgradient extragradient method with double inertial steps for variational inequalities

Y Yao, OS Iyiola, Y Shehu - Journal of Scientific Computing, 2022 - Springer
In this paper, we obtain successively weak, strong and linear convergence analysis of the
sequence of iterates generated by our proposed subgradient extragradient method with …

The forward–backward–forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

RI Boţ, ER Csetnek, PT Vuong - European Journal of Operational Research, 2020 - Elsevier
Tseng's forward–backward–forward algorithm is a valuable alternative for Korpelevich's
extragradient method when solving variational inequalities over a convex and closed set …

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 …

A MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND COMMON FIXED …

LC Ceng, A Petruşel, X Qin, JC Yao - Fixed Point Theory, 2020 - search.ebscohost.com
In this paper, we introduce a modified inertial subgradient extragradient method for solving a
variational inequality problem with Lipschitz pseudomonotone mapping and a common fixed …

Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence

Y Shehu, OS Iyiola - Applied Numerical Mathematics, 2020 - Elsevier
The projection methods with vanilla inertial extrapolation step for variational inequalities
have been of interest to many authors recently due to the improved convergence speed …

Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems

DV Thong, D Van Hieu, TM Rassias - Optimization Letters, 2020 - Springer
In this paper, two new algorithms are introduced for solving a pseudomontone variational
inequality problem with a Lipschitz condition in a Hilbert space. The algorithms are …

Weak convergence of explicit extragradient algorithms for solving equilibirum problems

H ur Rehman, P Kumam, YJ Cho… - Journal of Inequalities and …, 2019 - Springer
This paper aims to propose two new algorithms that are developed by implementing inertial
and subgradient techniques to solve the problem of pseudomonotone equilibrium problems …

Quasi-inertial Tseng's extragradient algorithms for pseudomonotone variational inequalities and fixed point problems of quasi-nonexpansive operators

TY Zhao, DQ Wang, LC Ceng, L He… - Numerical Functional …, 2020 - Taylor & Francis
In a real Hilbert space, let the VIP indicate a variational inequality problem with Lipschitzian,
pseudomonotone operator, and let the FPP denote a fixed-point problem of a quasi …

A modified inertial subgradient extragradient method for solving variational inequalities

Y Shehu, OS Iyiola, S Reich - Optimization and Engineering, 2022 - Springer
Various versions of inertial subgradient extragradient methods for solving variational
inequalities have been and continue to be studied extensively in the literature. In many of …

A family of inertial derivative-free projection methods for constrained nonlinear pseudo-monotone equations with applications

J Jian, J Yin, C Tang, D Han - Computational and Applied Mathematics, 2022 - Springer
In this paper, based on the inertial acceleration technique, we propose a family of inertial
derivative-free projection methods for solving nonlinear pseudo-monotone equations with …