In this paper, two splitting extragradient-like algorithms for solving strongly pseudomonotone
equilibrium problems given by a sum of two bifunctions are proposed. The convergence of …

We present two approximate versions of the proximal subgradient method for minimizing the
sum of two convex functions (not necessarily differentiable). At each iteration, the algorithms …

We introduce a projection-type algorithm for solving the variational inequality problem for
point-to-set operators, and establish its convergence properties. Namely, we assume that …

We propose splitting, parallel algorithms for solving strongly equilibrium problems over the
intersection of a finite number of closed convex sets given as the fixed-point sets of …

In this paper, sequential and parallel splitting algorithms are proposed for solving
equilibrium problems given by a sum of two functions. The convergence of the sequences …

In this paper, we propose dynamical systems for solving variational inequalities whose
mapping is paramonotone, strongly pseudomonotone or pseudomonotone and Lipschitz …

In this paper, we propose two new projection-type algorithms for solving the multi-valued
variational inequality in finite dimensional spaces. We prove the convergence of the …

In this paper, we discuss two modified extragradient methods for variational inequalities. The
first one can be applied when the Lipschitz constant of the involving operator is unknown. In …

In this paper, we generalize the classical extragradient algorithm for solving variational
inequality problems by utilizing nonzero normal vectors of the feasible set. In particular …

We introduce a relaxed-projection splitting algorithm for solving variational inequalities in
Hilbert spaces for the sum of nonsmooth maximal monotone operators, where the feasible …