A new computational technique for common solutions between systems of generalized mixed equilibrium and fixed point problems

We introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings,the set solutions of a system of a general system of generalized equilibria in a real hilbert space. then,we prove the strong convergence of the proposed iterative algorithm to a common element of the above three sets under some suitable conditions. as applications,at the end of the paper,we apply our results to find the minimum-norm solutions which solve some quadratic minimization problems. the results obtained in this paper extend and improve many recent ones announced by many others. © 2013 pongsakorn sunthrayuth and poom kumam.