Auxiliary problem and algorithm for a generalized mixed equilibrium problem

Suhel Ahmad Khan
2015 Journal of the Egyptian Mathematical Society  
In this paper, we consider generalized mixed equilibrium problem and its auxiliary problem in Hilbert space. Further, we establish an existence and uniqueness theorem for the auxiliary problem. Furthermore, using this theorem we construct an algorithm for generalized mixed equilibrium problem and discuss the convergence analysis of the algorithm and existence of solution of generalized mixed equilibrium problem.
doi:10.1016/j.joems.2014.03.003 fatcat:6stwdqfyibcxddsmdb3jaojm7q