Contractibility of Fixed Point Sets of Mean-Type Mappings
Smith Yokpaisan Iampiboonvatana, Phichet Chaoha · Abstract and Applied Analysis · 2017
We establish a convergence theorem and explore fixed point sets of certain continuous quasi-nonexpansive mean-type mappings in general normed linear spaces. We not only extend previous works by Matkowski to general normed linear spaces, but also obtain a new result on the structure of fixed point sets of quasi-nonexpansive mappings in a nonstrictly convex setting.