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.

Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems

“…e split problem has received many concerns (see [13,[24][25][26][27][28]) due to its extensive applications in image recovery and signal processing, control theory, and so on. Note that the split problem (2) includes the following split problems as special cases:…”