Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications

[摘要] We introduce a Halpern-type iteration for a generalized mixed equilibriumproblem in uniformly smooth and uniformly convex Banach spaces. Strong convergencetheorems are also established in this paper. As applications, we applyour main result to mixed equilibrium, generalized equilibrium, and mixed variationalinequality problems in Banach spaces. Finally, examples and numericalresults are also given.

[学科分类] 应用数学