Hybrid method for equilibrium problems and variational inclusions

[摘要] By providing a new iterative method our aim is finding a common element of the set of fixed points of two nonexpansive mappings, the set of solutions to a variational inclusion and the set of solutions of a generalized equilibrium problem in a real Hilbert space. We review the strong convergence of the new iterative method in the framework of Hilbert spaces. Finally, we show that our main result is a generalization for some known theorems in this field.

[学科分类] 电力

[关键词] Maximal monotone operator;Nonexpansive map;Variational inclusion;Generalized equilibrium problem;Inverse strongly monotone map