RT journal article
T1 Approximate Efficient Solutions of the Vector Optimization Problem on Hadamard Manifolds via Vector Variational Inequalities
A1 Ruiz Garzón, Gabriel
A1 Osuna Gómez, Rafaela
A1 Rufián Lizana, Antonio
A1 Hernández Jiménez, Beatriz
A2 Estadística e Investigación Operativa
K1 generalized convexity
K1 Hadamard manifold
K1 approximate efficient solution
K1 Stackelberg equilibrium point
AB This article has two objectives. Firstly, we use the vector variational-like inequalitiesproblems to achieve local approximate (weakly) efficient solutions of the vector optimization problemwithin the novel field of the Hadamard manifolds. Previously, we introduced the concepts ofgeneralized approximate geodesic convex functions and illustrated them with examples. We see theminimum requirements under which critical points, solutions of Stampacchia, and Minty weakvariational-like inequalities and local approximate weakly efficient solutions can be identified,extending previous results from the literature for linear Euclidean spaces. Secondly, we showan economical application, again using solutions of the variational problems to identify Stackelbergequilibrium points on Hadamard manifolds and under geodesic convexity assumptions.
PB MDPI
SN 2227-7390
YR 2020
FD 2020-12
LK http://hdl.handle.net/10498/24360
UL http://hdl.handle.net/10498/24360
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026