19 citations · 62 across the 11 of their papers we have counts for
8 papers · 1 filter
The Existence and Stability of Generalized Multi-Source Weber Problems
V. S. T. Long, N. M. Nam, T. H. Tai +1
This paper studies the generalized multi-source Weber problem with set-valued targets in the framework of minimal time functions. We first establish the existence of global and loc…
A new view on risk measures associated with acceptance sets
Marcel Marohn, Christiane Tammer
In this paper, we study properties of certain risk measures associated with acceptance sets. These sets describe regulatory preconditions that have to be fulfilled by financial ins…
The Fermat Rule for Set Optimization Problems with Lipschitzian Set-Valued Mappings
Gemayqzel Bouza, Ernest Quintana, Christiane Tammer +1
In this paper, we consider set optimization problems where the solution concept is given by the set approach. Specifically, we deal with the lower less and the upper less set relat…
A Steepest Descent Method for Set Optimization Problems with Set-Valued Mappings of Finite Cardinality
Gemayqzel Bouza, Ernest Quintana, Christiane Tammer
In this paper, we study a first order solution method for a particular class of set optimization problems where the solution concept is given by the set approach. We consider the c…
A Unified Characterization of Nonlinear Scalarizing Functionals in Optimization
Gemayqzel Bouza, Ernest Quintana, Christiane Tammer
Over the years, several classes of scalarization techniques in optimization have been introduced and employed in deriving separation theorems, optimality conditions and algorithms.…
Vector Optimization with Domination Structures: Variational Principles and Applications
Truong Q. Bao, Boris S. Mordukhovich, Antoine Soubeyran +1
This paper addresses a large class of vector optimization problems in infinite-dimensional spaces with respect to two important binary relations derived from domination structures.…
Contingent derivatives and regularization for noncoercive inverse problems
Christian Clason, Akhtar A. Khan, Miguel Sama +1
We study the inverse problem of parameter identification in non-coercive variational problems that commonly appear in applied models. We examine the differentiability of the set-va…
Lagrange duality, stability and subdifferentials in vector optimization
Elvira Hernández, Andreas Löhne, Luis Rodríguez-Marín +1
Langrange duality theorems for vector and set optimization problems which are based on an consequent usage of infimum and supremum (in the sense greatest lower and least upper boun…