RT journal article
T1 Solutions of Optimization Problems on Hadamard Manifolds with Lipschitz Functions
A1 Ruiz Garzón, Gabriel
A1 Osuna Gómez, Rafaela
A1 Rufián Lizana, Antonio
A2 Estadística e Investigación Operativa
K1 generalized convexity
K1 Hadamard manifold
K1 efficient solution
K1 vector critical point
K1 Nash equilibrium point
AB The aims of this paper are twofold. First, it is shown, for the first time, which types of nonsmooth functions are characterized by all vector critical points as being efficient or weakly efficient solutions of vector optimization problems in constrained and unconstrained scenarios on Hadamard manifolds. This implies the need to extend different concepts, such as the Karush-Kuhn-Tucker vector critical points and generalized invexity functions, to Hadamard manifolds. The relationships between these quantities are clarified through a great number of explanatory examples. Second, we present an economic application proving that Nash's critical and equilibrium points coincide in the case of invex payoff functions. This is done on Hadamard manifolds, a particular case of noncompact Riemannian symmetric spaces.
PB MDPI
SN 2073-8994
YR 2020
FD 2020-05
LK http://hdl.handle.net/10498/23833
UL http://hdl.handle.net/10498/23833
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026