A HYBRID METHOD FOR A COUNTABLE FAMILY OF LIPSCHITZ GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS AND AN EQUILIBRIUM PROBLEM

Prasit Cholamjiak, Watcharaporn Cholamjiak, Suthep Suantai
2013 Communications of the Korean Mathematical Society  
In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uniformly Lipschitzian generalized asymptotically quasi-nonexpansive mappings and the solutions set of equilibrium problems. Some strong convergence theorems of the proposed iterative scheme are established by using the concept of W -mappings of a countable family of uniformly Lipschitzian generalized asymptotically quasi-nonexpansive mappings.
doi:10.4134/ckms.2013.28.2.335 fatcat:2zh5ahxvpvbrvg35khc7decooe