On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems

摘要

In this paper, equilibrium and fixed point problems based on hybrid iterative processes are investigated. It is proved that the sequence generated in the purposed iterative process converges strongly to a common element in the fixed point set of an asymptotically strict pseudocontraction and in the solution set of an equilibrium problem in the framework of real Hilbert spaces.