6 citations · 14 across the 5 of their papers we have counts for
5 papers
A Set-Valued Lagrange Theorem based on a Process for Convex Vector Programming
Fernando García-Castaño, M. A. Melguizo Padial
In this paper, we present a new set-valued Lagrange multiplier theorem for constrained convex set-valued optimization problems. We introduce the novel concept of Lagrange process.…
On dentability and cones with a large dual
Fernando García-Castaño, M. A. Melguizo Padial
In this paper, we provide some equivalences on dentability in normed spaces. Among others we prove: the origin is a denting point of a pointed cone if and only if it is a point…
Denting Points of Convex Sets and Weak Property () of Cones in Locally Convex Spaces
Fernando García-Castaño, M. A. Melguizo Padial, G. Parzanese
In this paper we first extend from normed spaces to locally convex spaces some characterizations of denting points in convex sets. On the other hand, we also prove that in an infra…
Lagrange Multipliers, Duality, and Sensitivity in Set-Valued Convex Programming via Pointed Closed Convex Processes
Fernando García-Castaño, M. A. Melguizo Padial
We present a new kind of Lagrangian duality theory for set-valued convex optimization problems whose objective and constraint maps are defined between preordered normed spaces. The…
Sublinear Scalarizations for Proper and Approximate Proper Efficient Points in Nonconvex Vector Optimization
Fernando García-Castaño, Miguel Ángel Melguizo-Padial, G. Parzanese
We show that under a separation property, a -minimal point in a normed space is the minimum of a given sublinear function. This fact provides sufficient conditions, vi…