Approximated fixed points via completion
Abstract
In this paper, using the concept of completion, we establish the existence of approximate fixed points for contracting set-valued mappings defined in a metric space not necessarily assumed to be complete. As a consequence, we obtain approximate versions of the famous results of the global Contraction Mapping Principle and Nadler Fixed Point Theorem without completeness.
Copyright (c) 2019 Mohamed Ait Mansour, Mohamed Amin Bahraoui, Adham El Bekkali
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