New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces

[摘要] We propose an explicit iterative scheme for finding a commonelement of the set of fixed points of infinitely many strict pseudo-contractive mappings andthe set of solutions of an equilibrium problem by the general iterative method, which solvesthe variational inequality. In the setting of real Hilbert spaces, strong convergence theoremsare proved. The results presented in this paper improve and extend the correspondingresults reported by some authors recently. Furthermore, two numerical examples are givento demonstrate the effectiveness of our iterative scheme.

[学科分类] 应用数学