6 papers
Bishop-Phelps Type Scalarization for Vector Optimization in Real Topological-Linear Spaces
Christian Günther, Bahareh Khazayel, Radu Strugariu +1
It is well-known that scalarization techniques (e.g., in the sense of Gerstewitz; Kasimbeyli; Pascoletti and Serafini; Zaffaroni) are useful for generating (weakly, properly) effic…
Proper efficiency results in vector optimisation in real linear-topological spaces based on vectorial penalisation
Paul Schmölling, Christian Günther, Christiane Tammer +1
In this paper, we are dealing with constrained vector optimisation problems where the objective function acts between real linear-topological spaces. Our aim is to study the relati…
Trust-Region Method for Optimization of Set-Valued Maps Given by Finitely Many Functions
Suprova Ghosh, Debdas Ghosh, Christiane Tammer +1
In this article, we develop a trust-region technique to find critical points of unconstrained set optimization problems with the objective set-valued map defined by finitely many t…
Symmetric and Non-Symmetric Cone Separation via Bishop-Phelps Cones in Normed Spaces
Fernando GarcÃa-Castaño, Christian Günther, M. A. Melguizo-Padial +1
In this paper, we study relationships between symmetric and non-symmetric separation of (not necessarily convex) cones by using separating cones of Bishop-Phelps type in real norme…
A Quasi-Newton Method to Solve Uncertain Multiobjective Optimization Problems with Uncertainty Set of Finite Cardinality
K. Gupta, D. Ghosh, C. Tammer +2
In this article, we derive an iterative scheme through a quasi-Newton technique to capture robust weakly efficient points of uncertain multiobjective optimization problems under th…
Necessary conditions for approximate solutions of vector and set optimization problems with variable domination structure
Marius Durea, Christian Günther, Radu Strugariu +1
We consider vector and set optimization problems with respect to variable domination structures given by set-valued mappings acting between the preimage space and the image space o…