19 citations · 37 across the 5 of their papers we have counts for
5 papers
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 Vectorization Scheme for Nonconvex Set Optimization Problems
Gabriele Eichfelder, Ernest Quintana, Stefan Rocktäschel
In this paper, we study a solution approach for set optimization problems with respect to the lower set less relation. This approach can serve as a base for numerically solving set…
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.…
On Clarke's Subdifferential of Marginal Functions
Gemayqzel Bouza, Ernest Quintana, Christiane Tammer
In this short note, we derive an upper estimate of Clarke's subdifferential of marginal functions in Banach spaces. The structure of the upper estimate is very similar to other res…