Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem

Abstract

The main aim of this manuscript is to work on the split equilibrium problem with the combined results of the fixed point problem and split variational inequality problem. This paper is an extension of the recent work of Lohawech et al. We proposed a sequence that converges weakly to the common solution of all the three problems mentioned earlier. In the end, we supply some direct consequences of the main result, as the paper is an extension of various existing results.

Keywords

• variational inequality
• equilibrium problem
• fixed point
• split variational inequality
• split equilibrium problem