Inertial projection and contraction methods for pseudomonotone variational inequalities with non-Lipschitz operators and applications

B Tan, S Li, SY Cho - Applicable Analysis, 2023 - Taylor & Francis
In this paper, some new accelerated iterative schemes are proposed to solve the variational
inequality problem with a pseudomonotone and uniformly continuous operator in real Hilbert …

Self-adaptive method and inertial modification for solving the split feasibility problem and fixed-point problem of quasi-nonexpansive mapping

Y Wang, T Xu, JC Yao, B Jiang - Mathematics, 2022 - mdpi.com
The split feasibility problem (SFP) has many practical applications, which has attracted the
attention of many authors. In this paper, we propose a different method to solve the SFP and …

A new class of inertial algorithms with monotonic step sizes for solving fixed point and variational inequalities

HU Rehman, P Kumam, W Kumam… - … Methods in the Applied …, 2022 - Wiley Online Library
This study presents two inertial type extragradient algorithms for finding a common solution
to the monotone variational inequalities and fixed point problems for ρ ρdemicontractive …

R-linear convergence analysis of inertial extragradient algorithms for strongly pseudo-monotone variational inequalities

DV Thong, PT Vuong - Journal of Computational and Applied Mathematics, 2022 - Elsevier
Some extragradient-type algorithms with inertial effect for solving strongly pseudo-monotone
variational inequalities have been proposed and investigated recently. While the …

[PDF][PDF] A modified inertial projection and contraction method for solving bilevel split variational inequality problems

GC Ugwunnadi, C Izuchukwu… - Applied Set-Valued …, 2022 - asvao.biemdas.com
The main purpose of this paper is to study a bilevel split variational inequality problem in two
real Hilbert spaces. We propose a new modified inertial projection and contraction method …

[PDF][PDF] Convergence theorems of common solutions of variational inequality and f-fixed point problems in Banach spaces

GB Wega, H Zegeye - Applied Set-Valued Analysis and …, 2021 - asvao.biemdas.com
The purpose of this paper is to introduce the concept of a Bregman relatively f-nonexpansive
mappings and study common solutions of the variational inequality problem involving …

Strong Convergence of an Inertial Iterative Algorithm for Generalized Mixed Variationallike Inequality Problem and Bregman Relatively Nonexpansive Mapping in …

S Fahad Aldosary, W Cholamjiak, R Ali… - Journal of …, 2021 - Wiley Online Library
In this paper, we consider a generalized mixed variationallike inequality problem and prove
a Mintytype lemma for its related auxiliary problems in a real Banach space. We prove the …

Accelerated modified Tseng's extragradient method for solving variational inequality problems in Hilbert spaces

GA Okeke, M Abbas, M De la Sen, H Iqbal - Axioms, 2021 - mdpi.com
The aim of this paper is to propose a new iterative algorithm to approximate the solution for a
variational inequality problem in real Hilbert spaces. A strong convergence result for the …

Strong convergence of multi-parameter projection methods for variational inequality problems

D Van Hieu, PK Quy - Mathematical Modelling and Analysis, 2022 - journals.vilniustech.lt
In this paper, we introduce a multi-parameter projection method for solving a variational
inequality problem, and establish its strong convergence in a Hilbert space under …

Inertial Tseng method for solving the variational inequality problem and monotone inclusion problem in real Hilbert space

S Husain, MAO Tom, MU Khairoowala, M Furkan… - Mathematics, 2022 - mdpi.com
The main aim of this research is to introduce and investigate an inertial Tseng iterative
method to approximate a common solution for the variational inequality problem for γ …