RT journal article
T1 Necessary and Sufficient Optimality Conditions for Vector Equilibrium Problems on Hadamard Manifolds
A1 Ruiz Garzón, Gabriel
A1 Osuna Gómez, Rafaela
A1 Ruiz Zapatero, Jaime
A2 Estadística e Investigación Operativa
K1 vector equilibrium problem
K1 generalized convexity
K1 hadamard manifolds
K1 weakly efficient pareto points
AB The aim of this paper is to show the existence and attainability of Karush–Kuhn–Tuckeroptimality conditions for weakly efficient Pareto points for vector equilibrium problems with theaddition of constraints in the novel context of Hadamard manifolds, as opposed to the classicalexamples of Banach, normed or Hausdorff spaces. More specifically, classical necessary and sufficientconditions for weakly efficient Pareto points to the constrained vector optimization problem arepresented. The results described in this article generalize results obtained by Gong (2008) andWeiand Gong (2010) and Feng and Qiu (2014) from Hausdorff topological vector spaces, real normedspaces, and real Banach spaces to Hadamard manifolds, respectively. This is done using a notion ofRiemannian symmetric spaces of a noncompact type as special Hadarmard manifolds.
PB MDPI
SN 2073-8994
YR 2019
FD 2019-08
LK http://hdl.handle.net/10498/21743
UL http://hdl.handle.net/10498/21743
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026