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This work is devoted to establish the strong convergence results of aniterative algorithm generated by the shrinking projection method in Hilbertspaces. The proposed approximation sequence is used to find a common element inthe set of solutions of a finite family of split equilibrium problems and theset of common fixed points of a finite family of total asymptotically strictpseudo contractions in such setting. The results presented in this paperimprove and extend some recent corresponding results in the literature.

A shrinking projection approximant for the split equilibrium problems and fixed point problems in Hilbert spaces