most citedA Steepest Descent Method for Set Optimization Problems with Set-Valued Mappings of Finite Cardinality

19 citations · 37 across the 6 of their papers we have counts for

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6 papers

math.OC2022

Set-based Robust Optimization of Uncertain Multiobjective Problems via Epigraphical Reformulations

Gabriele Eichfelder, Ernest Quintana

In this paper, we study a method for finding robust solutions to multiobjective optimization problems under uncertainty. We follow the set-based minmax approach for handling the un…

math.OC2021★ 4 cited

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…

math.OC2021

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…

math.OC2021★ 19 cited

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…

math.OC2021★ 14 cited

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.…

math.FA2021

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…