The product of virtually nonexpansive maps and their fixed points

K Pomdee, Gun Sunyeekhan, P Hirunmasuwan · Journal of Physics Conference Series · 2018

We show that the countably infinite product of virtually nonexpansive maps is virtually nonexpansive. This result implies that the fixed point set of such the product map is a retract of its convergence set. We also explore the related properties between the convergence set of the product map and the fixed point set of the product map.

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