A nonlinear split problem regarding variational inequalities and equilibrium problems

Abstract

Abstract Split problems under linear transformations have been studied extensively in the literature. In this paper, we investigate a split problem under a nonlinear transformation, which consists of two variational inequalities and an equilibrium problem. We propose an iterative sequence for computing a solution to this split problem. Strong convergence theorem is achieved under additional standard conditions.

Keywords

• Split problem
• Variational inequality
• Equilibrium problem
• Nonlinear transformation