Metric Regularity and Lyusternik-Graves Theorem via Approximate Fixed Points of Set-Valued Maps in Noncomplete Metric Spaces

Author:

Ait Mansour MohamedORCID,Bahraoui Mohamed Amin,El Bekkali Adham

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Reference18 articles.

1. Adly, S., Dontchev, A.L., Théra, M.: On one-sided Lipschitz stability of set-valued contractions. Numer. Funct. Anal. Optim. 35, 837–850 (2014)

2. Ait Mansour, M., Bahraoui, M.A., El Bekkali, A.: Approximate fixed points via completion. Le Matematiche LXXIV-Issue II, 411–415 (2019)

3. Ait Mansour, M., Bahraoui, M.A., El Bekkali, A.: A global approximate contraction mapping principle in non-complete metric spaces. J. Nonlinear Var. Anal. 4(1), 153–157 (2020)

4. Arutyunov, A.V.: Covering mappings in metric spaces and fixed points. Dokl. Akad. Nauk. 416, 151–155 (2007)

5. Beer, G.: Topologies on Closed and Closed Convex Set. Kluwer Academic Publishers, Dordrecht (1993)

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