Hybrid projection method for generalized mixed equilibrium problems,variational inequality problems,and fixed point problems in Banach spaces

摘要

A new hybrid projection iterative scheme is introduced to approximate acommon element of the solution set of a generalized mixed equilibrium problem,the solution set of a variational inequality problem,and the set of fixed points of a relatively weak nonexpansive mapping in the Banach spaces.The obtained results generalize and improve the recent results announced by many other authors.