Common solutions to some systems of vector equilibrium problems and common xed point problems in Banach space
Mohammad Farid, K.R. Kazmi · 2016
In this paper, we study some properties of set of solutions of a new gen-eralized mixed vector equilibrium problem in Banach space. Further, we introduce aniterative method based on hybrid method and convex approximation method for nd-ing a common element to the set of solutions of a system of unrelated generalized mixedvector equilibrium problems and the set of solutions of common xed point problemsfor the two families of generalized asymptotically quasi -nonexpansive mappings inBanach space. Furthermore, we obtain a strong convergence theorem for the sequencesgenerated by the proposed iterative scheme. Finally, we derive some consequences fromour main result. The results presented in this paper extended and unify many of thepreviously known results in this area.