Strong Convergent Iterative Techniques for $2$-generalized Hybrid Mappings and Split Equilibrium Problems

Abstract

In this paper, we suggest a new iterative scheme for finding a common element of the set of solutions of a split equilibrium
problem and the set of fixed points of 2-generalized hybrid mappings in
Hilbert spaces. We show that the iteration converges strongly to a common solution of the considered problems.
A numerical example is illustrated to verify the validity of the proposed algorithm.
The results obtained in this paper extend and improve some known results in the literature.