WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Viscosity Iterative Approximating the Common Fixed Points of Non-expansive Semigroups in Banach Spaces
Authors: ,
Abstract: Let C be a closed convex subset of a reflexive and strictly convex Banach space E and F = {T(t); t > 0} be a non-expansive semigroup on the C with the nonempty set of their common fixed points. The purpose of this paper is to study a new viscosity iterative method for a non-expansive semigroup and weakly contraction mappings. And it is proved that the new iterative approximate sequences converge strongly to the solution of a certain variational inequality. These results improve and extend some recent results of the other authors.