On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces
Nan‐jing Huang, Heng-you Lan, Kok Lay Teo · Journal of Inequalities and Applications · 2007
We introduce and study a new class of auxiliary problems for solving the equilibrium problem in Banach spaces. Not only the existence of approximate solutions of the equilibrium problem is proven, but also the strong convergence of approximate solutions to an exact solution of the equilibrium problem is shown. Furthermore, we give some iterative schemes for solving some generalized mixed variational-like inequalities to illuminate our results.