A global approximate contraction mapping principle in non-complete metric spaces

2020 Journal of Nonlinear and Variational Analysis  
In this paper, we present a result which simultaneously provides the existence of approximate fixed points for a setvalued 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.
doi:10.23952/jnva.4.2020.1.11 fatcat:q43rhg6zuvgm5labi7zazgioty