6 citations · 11 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
Existence and Density Theorems of Henig Global Proper Efficient Points
Fernando García-Castaño, Miguel Ángel Melguizo-Padial
In this work, we provide some novel results that establish both the existence of Henig global proper efficient points and their density in the efficient set for vector optimization…