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Volume 4, Issue 1, 1 April 2020, Pages 153-157
Abstract. In this paper, we present a result which simultaneously provides the existence of approximate fixed points for a set-valued contraction mapping in a not necessarily complete metric space, and estimate the distance from a point to the set of the approximate fixed points of the underlying map. As an application, we give a new characterization of Lipschitzian set-valued mappings.
How to Cite this Article:
M. Ait Mansour, M.A. Bahraoui, A. El Bekkali, A global approximate contraction mapping principle in non-complete metric spaces, J. Nonlinear Var. Anal. 4 (2019), 153-157.