Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space. (Q1856988)

In the present paper, the authors extend some results on weak convergence for the sequence of iterates \(\{T^n x\}\) for a nonexpansive mapping \(T\) from Banach spaces to a metric space \((M,\rho)\) with Hausdorff mapping \(T\) such that the triple \(\{M,\rho,\tau\}\) satisfies various types of \(\tau\)-Opial conditions, and from nonexpansive to right reversible semigroups of asymptotically nonexpansive type mappings.