Approximating fixed points for a reversible semigroup of Lipschitzian mappings in a smooth Banach space
Hossein Piri, Poom Kumam · Journal of Inequalities and Applications · 2013
In this paper, we approximate a fixed point of the semigroup ϕ = {T s : s ∈ S} of Lipschitzian mappings from a nonempty compact convex subset C of a smooth Banach space E into C with a uniform Lipschitzian condition and with respect to a finite family of sequences {μ i,n } m, ∞ i=1,n=1 of left strong regular invariant means defined on an appropriate invariant subspace of l ∞ (S).Our result extends the main results announced by several others.