ABSTRACT

It is well known that equilibrium problems have been wildly investigated, for example, see References [1-2,13-15,18]. Various kinds of iterative algorithms for solving the generalized mixed equilibrium problems have been proposed by many authors. By using the Yosida approximation and the Wiener-Hopf equation technique, Moudafi [16] and Huang et al [11] studied the sensitivity analysis of the solutions to generalized mixed equilibrium problems in Hilbert spaces. Kazmi and Khan [12] studied the iterative algorithms for solving the generalized mixed equilibrium problems. Ding [3-4,8] and Ding and Ho [5] studied the iterative algorithms and iterative algorithms solvability for various generalized mixed equilibrium problems in Banach spaces.