Admissible fibers and T-admissibility in hyperspaces

We prove that: 1. metric continuum X is T-admissible if and only if the admissible fiber A(x) is path-connected for each x ϵ X. e metric continuum X is T-admissible if and only if C(X) is T-admissible. ample of noncontractible metric continuum X having noncontractible hyperspace C(X) without any Ri-continuum is given.