Let Hi : (i = 1, ..., k) be Hilbert spaces, Si : Hi → Hi (i = 1, ..., k) be ηi- demimetric; We obtained a common solution to a multiple split equilibrium problem, a finite family of simultaneous equilibrium problem, and a common fixed Point of a finite family of nonlinear mappings. We developed an algo- rithm and established sufficient condition for it's strong convergence to such a common solution. MSC(2010):- 47H10, 47J25.

Keywords : Hilbert Space, Multiple Split, Equilibrium Problems, η Demi- Metric, Strong Convergence.