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 …

[PDF][PDF] A monotone Bregan projection algorithm for fixed point and equilibrium problems in a reflexive Banach space

SY Cho - Filomat, 2020 - doiserbia.nb.rs
In this paper, a monotone Bregan projection algorithm is investigated for solving equilibrium
problems and common fixed point problems of a family of closed multi-valued Bregman …

Strong convergence of a self-adaptive method for the split feasibility problem

Y Yao, M Postolache, YC Liou - Fixed Point Theory and Applications, 2013 - Springer
Self-adaptive methods which permit step-sizes being selected self-adaptively are effective
methods for solving some important problems, eg, variational inequality problems. We …

Relaxed projection methods with self-adaptive step size for solving variational inequality and fixed point problems for an infinite family of multivalued relatively …

SH Khan, TO Alakoya, OT Mewomo - Mathematical and Computational …, 2020 - mdpi.com
In each iteration, the projection methods require computing at least one projection onto the
closed convex set. However, projections onto a general closed convex set are not easily …

Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems

LC Ceng, Q Yuan - Journal of Inequalities and Applications, 2019 - Springer
In this paper, we introduce and investigate composite inertial gradient-based algorithms with
a line-search process for solving a variational inequality problem (VIP) with a …

A general iterative method for approximation of fixed points and their applications

I Karahan, M Ozdemir - Adv. Fixed Point Theory, 2013 - scik.org
We propose a new iterative algorithm and prove strong and weak convergence theorems for
computing fixed points of nonexpansive mappings in a Banach space. We showed that our …

Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space

M Tian, BN Jiang - Journal of Inequalities and Applications, 2017 - Springer
In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and
Reich, which solves split variational inequality problem, and Korpelevich's extragradient …

On the resolution of variational inequality problems with a double-hierarchical structure

L Liu, B Tan, SY Cho - 2020 - scholarworks.gnu.ac.kr
In this paper, we discuss a pseudo-monotone variational inequality problem with a
variational inequality constraint over a general, nonempty, closed and convex set, which is …

An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces

LO Jolaoso, FU Ogbuisi, OT Mewomo - Advances in pure and …, 2018 - degruyter.com
In this paper, we propose an iterative algorithm for approximating a common fixed point of
an infinite family of quasi-Bregman nonexpansive mappings which is also a solution to finite …

Viscosity approximation methods for a class of generalized split feasibility problems with variational inequalities in Hilbert space

M Tian, BN Jiang - Numerical Functional Analysis and Optimization, 2019 - Taylor & Francis
Strong convergence theorem of viscosity approximation methods for nonexpansive mapping
have been studied. We also know that CQ algorithm for solving the split feasibility problem …