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On subsequential limit points of a sequence of iterates. II

Part of: Connections with other structures, applications Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

M. Maiti  and
A. C. Babu
M. Maiti
Affiliation:
Department of Mathematics Indian Institue of Technology Kharagpur, 721302, India
A. C. Babu
Affiliation:
Department of Mathematics University College of Engineering Burla, 768018, India
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Abstract

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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.

MSC classification

Secondary: 47H10: Fixed-point theorems 54H25: Fixed-point and coincidence theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 1 , February 1985 , pp. 118 - 129
Copyright
Copyright © Australian Mathematical Society 1985

References

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