Weak and strong convergence theorems for variational inequality problems

DV Thong, DV Hieu - Numerical Algorithms, 2018 - Springer
In this paper, we study the weak and strong convergence of two algorithms for solving
Lipschitz continuous and monotone variational inequalities. The algorithms are inspired by …

A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods

LO Jolaoso, A Taiwo, TO Alakoya… - Journal of optimization …, 2020 - Springer
Several iterative methods have been proposed in the literature for solving the variational
inequalities in Hilbert or Banach spaces, where the underlying operator A is monotone and …

Outer approximation methods for solving variational inequalities in Hilbert space

A Gibali, S Reich, R Zalas - Optimization, 2017 - Taylor & Francis
In this paper, we study variational inequalities in a real Hilbert space, which are governed by
a strongly monotone and Lipschitz continuous operator F over a closed and convex set C …

Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems

X Zhao, Y Yao - Optimization, 2020 - Taylor & Francis
In this paper, we investigate the monotone variational inequalities and fixed point problems
in Hilbert spaces. Two modified extragradient algorithms are presented for finding a …

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 …

[PDF][PDF] A proximal algorithm for solving split monotone variational inclusions

X Zhao, JC Yao, Y Yao - UPB Sci. Bull. Ser. A, 2020 - scientificbulletin.upb.ro
A PROXIMAL ALGORITHM FOR SOLVING SPLIT MONOTONE VARIATIONAL INCLUSIONS
MSC2010: 47H10, 49J40, 54H25. 1. Introduction Let H1 and Page 1 UPB Sci. Bull., Series A …

[PDF][PDF] Strong convergence of an extragradient algorithm for variational inequality and fixed point problems

Y Yao, M Postolache, JC Yao - UPB Sci. Bull., Ser. A, 2020 - scientificbulletin.upb.ro
In this paper, we consider the fixed point and variational inequality problems in Hilbert
spaces. We suggest an extragradient algorithm for finding a common element of the set of …

The split feasibility problem with multiple output sets for demicontractive map**s

F Wang - Journal of Optimization Theory and Applications, 2022 - Springer
In Hilbert spaces, we study the split feasibility problem with multiple output sets for
demicontractive map**s. For solving this problem, we propose an iterative method and …

[КНИГА][B] Algorithms for solving common fixed point problems

AJ Zaslavski - 2018 - Springer
In this book, we study approximate solutions of common fixed point and convex feasibility
problems in the presence of perturbations. A convex feasibility problem is to find a point …

Strong convergence theorems for solving variational inequality problems with pseudo-monotone and non-Lipschitz operators

G Cai, QL Dong, Y Peng - Journal of Optimization Theory and Applications, 2021 - Springer
In this paper, we propose a new viscosity extragradient algorithm for solving variational
inequality problems of pseudo-monotone and non-Lipschitz continuous operator in real …