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
… structure of the split variational inequality problem. In this paper, we present two new methods
with inertial steps for solving the split variational inequality problems in real Hilbert spaces …

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
… The inertial algorithm is a two-step iteration where the next … examples and comparison with
some related algorithms are … inequality, we will obtain a quadratic function in variable y. Since …

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

GN Ogwo, C Izuchukwu, OT Mewomo - Acta Mathematica Scientia, 2022 - Springer
two new relaxed inertial methods for solving the split … , the split minimization problem [37],
split common null point … To accelerate the convergence of iterative methods for solving the …

A self adaptive inertial algorithm for solving variational inequalities over the solution set of the split variational inequality problem

NTT Thuy, TT Tung - Optimization Letters, 2024 - Springer
… Our algorithm is accelerated by the inertial technique and eliminates the dependence on …
split inverse problems. In Sect. 5, we consider two examples of the distributed network system

Inertial approximation method for split variational inclusion problem in Banach spaces

OK Oyewole, C Izuchukwu, CC Okeke… - … Journal of Nonlinear …, 2020 - ijnaa.semnan.ac.ir
split common fixed points problem, split variational inequality … an inertial extrapolation as an
acceleration process for … convergence algorithm for a fixed point constrainted split null point

[PDF][PDF] ACCELERATED INERTIAL SUBGRADIENT EXTRAGRADIENT ALGORITHMS WITH NON-MONOTONIC STEP SIZES FOR EQUILIBRIUM PROBLEMS AND …

B Tan, SY Cho, JC Yao - Journal of Nonlinear & Variational Analysis, 2022 - bingtan.me
algorithms are established under some suitable conditions. Moreover, iterative schemes for
solving variational inequality problems are … {xn − p2} converges to zero by considering two

Inertial, corrected, primal-dual proximal splitting

T Valkonen - SIAM Journal on Optimization, 2020 - SIAM
… based acceleration with inertial acceleration. We test our proposed method on image processing
and inverse problems, … We will in subsection 3.3 see that the recurrence inequality (3.5) …

Two inertial-type algorithms for solving the split feasibility problem

Z Yao, S Vong - Optimization, 2023 - Taylor & Francis
… to point out that inertial extrapolation greatly accelerates the … Can the inertial parameter θ k
be equal to or even greater … method to solve the split feasibility problem. Inspired by the works …

Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems

HM Linh, S Reich, DV Thong, VT Dung, NP Lan - Numerical Algorithms, 2022 - Springer
… Moreover, in the case where the variational inequality operator is strongly pseudo-… relaxed
inertial gradient algorithm for finding the unique solution to the variational inequality problem (…

Global and linear convergence of alternated inertial methods for split feasibility problems

Y Shehu, QL Dong, LL Liu - Revista de la Real Academia de Ciencias …, 2021 - Springer
… is to introduce algorithms with alternated inertial step to solve split feasibility problems. We
… Table 1 illustrates that Algorithm 1 behaves better than the other two algorithms from the …