On subsequential limit points of a sequence of iterates. II

M. Maiti, A. C. Babu · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1985

Abstract J. B. Diaz and F. T. Metcalf established some results concerning the structure of the set of cluster points of a sequence of iterates of a continuous self-map of a metric space. In this paper it is shown that their conclusions remain valid if the distance function in their inequality is replaced by a continuous function on the product space. Then this idea is extended to some other mappings and to uniform and general topological spaces.

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