Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups

摘要

In this paper, we present a new algorithm for the split equality problem for finding a common element of solution of equilibrium problem, solution of variational inequality problem for monotone and Lipschitz continuous operators, and common fixed point of nonexpansive semigroups. We establish strong convergence of the algorithm in an infinite dimensional Hilbert spaces. Our results improve and generalize some recent results in the literature.