A strong convergence for the general equilibrium system

We suggest a new viscosity iterative scheme for finding a common element of theset of solutions of the general equilibrium problem system (GEPS) and the set ofall common fixed points of two non-commutative non-expansive self mappings in theframework of a real Hilbert space. The results in the paper generalize and improvesome well-known results in Jankaew et al.[۲] and many others. Moreover, we presenta numerical example (by using Maple software) to grantee the main result of thispaper.

Keywords:

General equilibrium problems , strongly positive linear bounded operator , 􀀀inverse strongly monotone mapping , xed point , Hilbert space