Convergence theorems of common elements for equilibrium problems and fixed point problems

Authors
Citation
Zhang, Li Juan, Convergence theorems of common elements for equilibrium problems and fixed point problems, Acta mathematica Sinica. English series (Print) , 28(3), 2012, pp. 631-636
ISSN journal
14398516
Volume
28
Issue
3
Year of publication
2012
Pages
631 - 636
Database
ACNP
SICI code
Abstract
In this paper, we introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of two asymptotically nonexpansive mappings in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the two sets.