Distinguish feebly and feebly+ topological contractions

Determine whether feebly+ topological contractions and feebly topological contractions are distinct notions for self-maps of topological spaces.

Background

The paper introduces feebly+ topological contractions by strengthening the ordinary feeble contraction condition: for every open cover and every pair of points, all sufficiently large iterates of the pair must lie in one member of the cover. Every feebly+ contraction is therefore a feeble contraction, but the converse is not established.

The distinction matters because the paper proves fixed-point results for continuous feebly+ contractions on peripherally Hausdorff spaces, whereas weaker feeble contractions require different hypotheses in the fixed-point theorems discussed elsewhere. Establishing whether the stronger definition genuinely narrows the class would clarify the scope of these results.