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 …

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 …

Self-adaptive methods which permit step-sizes being selected self-adaptively are effective
methods for solving some important problems, eg, variational inequality problems. We …

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 …

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 …

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 …

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 …

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 …

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 …

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 …