Approximation Results for Equilibrium Problems Involving Strongly Pseudomonotone Bifunction in Real Hilbert Spaces

On Equilibrium Problems Involving Strongly Pseudomonotone Bifunctions

We study equilibrium problems with strongly pseudomonotone bifunctions in real Hilbert spaces. We show the existence of a unique solution. We then propose a generalized strongly convergent projection method for equilibrium problems with strongly pseudomonotone bifunctions. The proposed method uses only one projection without requiring Lipschitz continuity. Application to variational inequalitie...

Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces

Common solutions to pseudomonotone equilibrium problems

‎In this paper‎, ‎we propose two iterative methods for finding a common solution of a finite family of equilibrium problems ‎for pseudomonotone bifunctions‎. ‎The first is a parallel hybrid extragradient-cutting algorithm which is extended from the‎ ‎previously known one for variational inequalities to equilibrium problems‎. ‎The second is a new cyclic hybrid‎ ‎extragradient-cutting algorithm‎....

Viscosity Approximation Methods for Equilibrium Problems and Zeroes of an Accretive Operator in Hilbert Spaces

In this paper, we establish a composite iteration scheme by the viscosity approximation method for finding a common element of the set of zero points of an accretive operator and the set of solutions of an equilibrium problem in the framework of a Hilbert space. Mathematics Subject Classification: 39B12, 47H06, 47H10

A viscosity approximation method for nonself operators and equilibrium problems in Hilbert spaces

Viscosity approximate methods have recently received much attention due to the applications in convex optimization problems. In this paper, we study a viscosity iterative algorithm with computational errors. Strong convergence theorems of solutions are established in the framework of Hilbert spaces. The main results presented in this paper improve the corresponding results announced recently. c...