Elisabeth Anna Sophia Köbis
Background and activities
Elisabeth Köbis has been associate professor at the Department of Mathematical Sciences since April 2020.
Main areas of research
Set optimization, robust approaches to uncertain multi-objective optimization problems, vector variational inequalities
Conferences Organized
Colloquium & International Conference on Variational Analysis and Nonsmooth Optimization (2018)
Academic degrees
Habilitation in Mathematics at the Martin-Luther-University Halle-Wittenberg, Germany (2020). Thesis: Approaches to Set Optimization without Convexity Assumptions.
PhD in Mathematics at the Martin-Luther-University Halle-Wittenberg, Germany (2014). Thesis: On Robust Optimization: A Unified Approach to Robustness Using a Nonlinear Scalarizing Functional and Relations to Set Optimization.
MSc in Business Mathematics at the Martin-Luther-University Halle-Wittenberg, Germany (2011). Thesis: N-Location Problems with a Line Barrier.
Editorial activities
Managing Editor, Associate Editor and Pre-Production Editor at Optimization: A Journal of Mathematical Programming and Operations Research
Editor at
- Communications in Combinatorics and Optimization
- Applied Set-Valued Analysis and Optimization
Scientific, academic and artistic work
Journal publications
- (2021) A scalarization scheme for binary relations with applications to set-valued and robust optimization. Journal of Global Optimization. vol. 79.
- (2021) The Weighted Set Relation: Characterizations in the Convex Case. Journal of Nonlinear and Variational Analysis. vol. 5 (5).
- (2021) Characterizing the upper set relation by general functionals. Applied Set-Valued Analysis and Optimization. vol. 3 (3).
- (2020) On General Implicit Hybrid Iteration Method for Triple Hierarchical Variational Inequalities with Hierarchical Variational Inequality Constraints. Optimization. vol. 69 (9).
- (2020) The generic stability of solutions for vector quasi-equilibrium problems on Hadamard manifolds. Journal of Nonlinear and Variational Analysis. vol. 4 (3).
- (2020) An Inequality Approach to Approximate Solutions of Set Optimization Problems in Real Linear Spaces. Mathematics.
- (2019) Characterizations of Multiobjective Robustness via Oriented Distance Function. Journal of Optimization Theory and Applications.
- (2019) Tikhonov Type Regularization Methods for Inverse Mixed Variational Inequalities. Optimization.
- (2019) Optimality Conditions and Duality for Robust Nonsmooth Multiobjective Optimization Problems with Constraints Share on. Journal of Optimization Theory and Applications.
- (2019) Computing Minimal Elements Of Finite Families of Sets w.r.t. Preorder Relations in Set-Valued Optimization. Applied Set-Valued Analysis and Optimization.
- (2019) On strictly minimal elements w.r.t. preorder relations in set-valued optimization. Applied Set-Valued Analysis and Optimization.
- (2019) Existence Theorems and Regularization Methods for Non-coercive Vector Variational and Vector Quasi-Variational Inequalities. Journal of Nonlinear and Convex Analysis.
- (2019) Nonlinear Separation Approach to Inverse Variational Inequalities in Real Linear Spaces. Journal of Optimization Theory and Applications.
- (2019) Necessary Conditions for Solutions of Set Optimization Problems with Respect to Variable Domination Structures. Pure and Applied Functional Analysis. vol. 4 (2).
- (2019) Existence Conditions for Set-Valued Vector Quasi-Equilibrium Problems on Hadamard Manifolds with Variable Domination Structure and Applications. Journal of Nonlinear and Convex Analysis. vol. 20 (12).
- (2019) Existence of Solutions and Iterative Algorithms for Weak Vector Quasi-Equilibrium Problems. Journal of Nonlinear and Convex Analysis. vol. 21 (2).
- (2019) Existence of Solutions and Algorithm for Generalized Vector Quasi-complementarity Problems with Application to Traffic Network Problems. Journal of Nonlinear and Convex Analysis. vol. 20 (9).
- (2018) Image Space Analysis for Constrained Inverse Vector Variational Inequalities via Multiobjective Optimization. Journal of Optimization Theory and Applications.
- (2018) Zero Duality Gap Property for Convex Composite Optimization Problems. Journal of Nonlinear and Convex Analysis. vol. 19 (12).
- (2018) Representation of Set Relations in Real Linear Spaces. Journal of Nonlinear and Convex Analysis. vol. 19 (2).
- (2018) Overshoot Optimized Newmark-Type Methods. Investigacion Operacional. vol. 39 (3).
- (2018) Numerical Procedures for Obtaining Strong, Strict and Ideal Minimal Solutions of Set Optimization Problems. Applied Analysis and Optimization. vol. 2 (3).
- (2018) A Generalized Scalarization Method in Set Optimization with Respect to Variable Domination Structures. Vietnam Journal of Mathematics.
- (2018) Characterizations of Set Relations with Respect to Variable Domination Structures via Oriented Distance Function. Optimization.
- (2017) Approximate Solutions of Set-Valued Optimization Problems Using Set-Criteria. Applied Analysis and Optimization. vol. 1 (3).
- (2017) Robust Approaches to Uncertain Optimization. Boletín de Estadística e Investigacíon Operativa. vol. 33 (3).
- (2017) Set Optimization by Means of Variable Order Relations. Optimization.
- (2017) Variable Ordering Structures in Set Optimization. Journal of Nonlinear and Convex Analysis. vol. 18 (9).
- (2017) A New Scalarizing Functional in Set Optimization with Respect to Variable Domination Structures. Applied Analysis and Optimization. vol. 1 (2).
Books
- (2019) Variational Analysis and Set Optimization: Developments and Applications in Decision Making. CRC Press. 2019. ISBN 9781315177991.
- (2018) Vector Variational Inequalities and Vector Optimization. Theory and Applications. Springer. 2018. ISBN 9783319630489.