Convergence theorems for a finite family of relatively quasi-nonexpansive mappings and system of equilibrium problems
B. G. Akuchu · International Mathematical Forum · 2014
Copyright c © 2014 B. G. Akuchu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, we employ an iteration scheme introduced in [13], to prove strong convergence to a common element of the set of fixed points of a family {Ti}Ni=1 of Li−Lipschitzian mappings and the set of common solutions to a system of equilibrium problems, in a uniformly convex Banach space which is also uniformly smooth. We do not require that the family {Ti}Ni=1 be uniformly continuous, as in [13].