Local mapping relations and global implicit function theorems

By Werner C. Rheinboldt. 1969

Subfields: Pure Mathematics

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Pure Mathematics

1. N. Koksch
2. Simon Lacoste-Julien
3. Waïss Azizian
4. Ioannis Mitliagkas
5. Stefan Siegmund
6. Gauthier Gidel

Citations in the corpus

• A Tight and Unified Analysis of Extragradient for a Whole Spectrum of Differentiable Games (2019, background): “Let f : R d → R d be a continuously differentiable map. and Assume that, for all ω ∈ R d , ∇ f is non-singular σ min ( f A proof of this theorem can be found in Rheinboldt (1969, Theorem 3.11).”
• A Tight and Unified Analysis of Gradient-Based Methods for a Whole Spectrum of Differentiable Games (2020, background): “A proof of this theorem can be found in Rheinboldt (1969, Theorem 3.11).”
• Pullback Attracting Inertial Manifolds for Nonautonomous Dynamical Systems (2002, background): “By [ Rhe69 , Theorem 3.7], H is a homeomorphism from X1(b) onto X1(hTb) and hence we have (2.6).”