Approximation solutions of quasi-equilibrium problems in Banach spaces
Mehdi Mohammadi, Gholamreza Zamani Eskandani · Miskolc mathematical notes/Mathematical notes · 2020
In this paper, we study to approximate solutions of quasi-equilibrium problems in Banach spaces, which generalizes equilibrium problems and quasi-variational inequalities.In fact, we prove weak convergence of the sequence generated by the proximal point method to a solution of the quasi-equilibrium problem.Then we show that the generated sequence converges strongly to a solution of the quasi-equilibrium problem.