Convergence theorems for equilibrium problems and fixed point problems of a finite family of asymptotically k-strictly pseudocontractive mappings in the intermediate sense
In this paper, we introduce a modified explicit iterative process for finding a common element of the solutions of an equilibrium problem and the set of common fixed points of a finite family of asymptotically k-strictly pseudocontractive mappings in the intermediate sense in the framework of Hilbert spaces. We get a weak convergence theorem for finding a common element of the above two sets and then we modify these algorithms to have a strong convergence theorem by using a hybrid method in the mathematical programming. Our results improve and extend the recent ones announced by many others. (C) 2010 Elsevier Ltd. All rights reserved.
convergence theorem equilibrium problem fixed point hybrid iterative method