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On Completeness in Metric Spaces and Fixed Point Theorems

Valentin Gregori; Juan José Miñana; Bernardino Roig; Almanzor Sapena;
Open Access
  • Publisher: Zenodo
Abstract
Complete ultrametric spaces constitute a particular class of the so called, recently, G-complete metric spaces. In this paper we characterize a more general class called weak G-complete metric spaces, by means of nested sequences of closed sets. Then, we also state a general fixed point theorem for a self-mapping of a weak G-complete metric space. As a corollary, every asymptotically regular self-mapping of a weak G-Complete metric space has a fixed point.
Persistent Identifiers
Funded by
EC| ROBINS
Project
ROBINS
Robotics Technology for Inspection of Ships
  • Funder: European Commission (EC)
  • Project Code: 779776
  • Funding stream: H2020
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