Proximal Calculus on Riemannian Manifolds

Nonconvex minimization problems

Ivar Ekeland · Bulletin of the American Mathematical Society · 1979 · 1K citations · Full text

Natural Sciences, Mathematics, Cost-minimization Analysis +16

Hamilton--Jacobi Equations and Distance Functions on Riemannian Manifolds

Carlo Mantegazza, Andrea Mennucci · Applied Mathematics & Optimization · 2002 · 218 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +14

Nonsmooth analysis and Hamilton–Jacobi equations on Riemannian manifolds

Daniel Azagra, Juan Ferrera, Fernando López-Mesas · Journal of Functional Analysis · 2004 · 155 citations

Natural Sciences, Mathematics, Physics +13

A convergence theory for saddle functions

Hédy Attouch, Roger J.‐B. Wets · Transactions of the American Mathematical Society · 1983 · 106 citations

Natural Sciences, Decision Sciences, Optimization +16

The Hopf-Rinow theorem in infinite dimension

Ivar Ekeland · Journal of Differential Geometry · 1978 · 46 citations · Full text

Natural Sciences, Mathematics, Geometry +10