%0 Journal Article
%A Ruiz-Garzón, Gabriel
%A Osuna-Gómez, Rafaela
%A Ruiz-Zapatero, Jaime
%T Necessary and Sufficient Optimality Conditions for Vector Equilibrium Problems on Hadamard Manifolds
%D 2019
%@ 2073-8994
%U http://hdl.handle.net/10498/21743
%X The aim of this paper is to show the existence and attainability of Karush–Kuhn–Tucker
optimality conditions for weakly efficient Pareto points for vector equilibrium problems with the
addition of constraints in the novel context of Hadamard manifolds, as opposed to the classical
examples of Banach, normed or Hausdorff spaces. More specifically, classical necessary and sufficient
conditions for weakly efficient Pareto points to the constrained vector optimization problem are
presented. The results described in this article generalize results obtained by Gong (2008) andWei
and Gong (2010) and Feng and Qiu (2014) from Hausdorff topological vector spaces, real normed
spaces, and real Banach spaces to Hadamard manifolds, respectively. This is done using a notion of
Riemannian symmetric spaces of a noncompact type as special Hadarmard manifolds.
%K vector equilibrium problem
%K generalized convexity
%K hadamard manifolds
%K weakly efficient pareto points
%~ Universidad de Cádiz