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

zhenhai liu


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.


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