Elisabeth Köbis
Contact
Dr. Elisabeth Köbis
room E.18.0
Georg-Cantor-Haus
Theodor-Lieser-Str. 5
06120 Halle (Saale)
phone: +49-345-55-24682
fax: +49-345-55-27005
elisabeth.koebis@mathematik.uni-halle.de
postal address:
Martin-Luther-Universität Halle-Wittenberg
06099 Halle (Saale)
Research Interests
- Vector Variational Inequalities
- Robust Optimization
- Robust Approaches for Uncertain Multi-Objective Optimization Problems
- Set Optimization
- Unified Concepts to Uncertain Optimization
- Nonlinear Scalarization
Editorial Work
Managing Editor: Optimization
Editor: Communications in Combinatorics and Optimization , Applied Set-Valued Analysis and Optimization
Guest Editor: Applied Analysis and Optimization
Courses Taught
| Winter 2019/20 | Optimization II (Operations Research) (Lecture) |
| Summer 2018 | Optimization I (Linear Optimization) (Exercise) Nonlinear Optimization (Exercise) |
| Winter 2017/18 | Optimization II (Operations Research) (Lecture) |
| Summer 2017 | Optimization I (Linear Optimization) (Exercise) Nonlinear Optimization (Exercise) |
| Winter 2016/17 | Optimization II (Operations Research) (Lecture) |
| Summer 2016 | Optimization I (Linear Optimization) (Exercise) Nonlinear Optimization (Exercise) |
| Winter 2015/16 | Mathematics for Engineers III (Exercise, University Erlangen) |
| Summer 2015 | Engineering Mathematics III (Exercise and Tutorial, in English, University Erlangen) |
| Winter 2014/15 | Linear and Convex Optimization (Exercise and Tutorial, University Erlangen) |
| Summer 2014 | Mathematics for Engineers II (Exercise, University Erlangen) |
Edited Volume
Monograph
Publications in Scientific Journals
E. Köbis, M. A. Köbis and X. Qin: An Inequality Approach to Approximate Solutions of Set Optimization Problems in Real Linear Spaces. Mathematics 8(1), 143, 2020.
Chr. Günther, E. Köbis and N. Popovici: On Strictly Minimal Elements w.r.t. Preorder Relations in Set-Valued Optimization. Applied Set-Valued Analysis and Optimization 1(3), 205–219, 2019.
L.-C. Ceng, E. Köbis and X. Zhao: On General Implicit Hybrid Iteration Method for Triple Hierarchical Variational Inequalities with Hierarchical Variational Inequality Constraints. Optimization (accepted for publication), 2019.
N. V. Hung, E. Köbis and V. M. Tam: Existence of Solutions and Iterative Algorithms for Weak Vector Quasi-Equilibrium Problems. Journal of Nonlinear and Convex Analysis (accepted for publication), 2019.
Chr. Günther, E. Köbis and N. Popovici: Computing Minimal Elements Of Finite Families of Sets w.r.t. Preorder Relations in Set-valued Optimization. Journal of Applied and Numerical Optimization 1(2), 131-144, 2019.
N. V. Hung, E. Köbis and V. M. Tam: Existence Conditions for Set-Valued Vector Quasi-Equilibrium Problems on Hadamard Manifolds with Variable Domination Structure and Applications. Journal of Nonlinear and Convex Analysis (accepted for publication), 2019.
E. Köbis, M. A. Köbis and X. Qin: Nonlinear Separation Approach to Inverse Variational Inequalities in Real Linear Spaces. Journal of Optimization Theory and Applications 183(1), 105-121, 2019.
J. Chen, X. Ju, E. Köbis and Y.-C. Liou: Tikhonov Type Regularization Methods for Inverse Mixed Variational Inequalities. Optimization, https://doi.org/10.1080/02331934.2019.1607339, 2019.
N. V. Hung, V. M. Tam, E. Köbis and J.-C. Yao: Existence of Solutions and Algorithm for Generalized Vector Quasi-complementarity Problems with
Application to Traffic Network Problems. Journal of Nonlinear and Convex Analysis 20(9), 1751-1775, 2019.
Q. H. Ansari, E. Köbis and P. K. Sharma: Characterizations of Multiobjective Robustness via Oriented Distance Function. Journal of Optimization Theory and Applications 81(3), 817-839, 2019.
N. Hebestreit, A. A. Khan, E. Köbis and Chr. Tammer: Existence Theorems and Regularization Methods for Non-coercive Vector Variational and Vector Quasi-Variational Inequalities. Journal of Nonlinear and Convex Analysis 20(3), 565--591, 2019.
J. Chen, E. Köbis and J.-C. Yao: Optimality Conditions and Duality for Robust Nonsmooth Multiobjective Optimization Problems with Constraints. Journal of Optimization Theory and Applications 181(2), 411-436, 2019.
D. H. Fang, E. Köbis and X. P. Zhao: Zero Duality Gap Property for Convex Composite Optimization Problems. Journal of Nonlinear and Convex Analysis 19(12), 2219-2233, 2018.
E. Köbis and Th. T. Le: Numerical Procedures for Obtaining Strong, Strict and Ideal Minimal Solutions of Set Optimization Problems. Applied Analysis and Optimization 2(3), 423-440, 2018.
Q. H. Ansari, E. Köbis and P. K. Sharma: Characterizations of Set Relations with Respect to Variable Domination Structures via Oriented Distance Function. Optimization 67(9), 1289-1407, 2018.
E. Köbis, Th. T. Le, Chr. Tammer and J.-C. Yao: Necessary conditions for solutions of set optimization problems with respect to variable domination structures. Journal of Pure and Applied Functional Analysis (accepted for publication), 2018.
E. Köbis and M. A. Köbis: Overshoot Optimized Newmark Methods. Investigación Operacional 39(3), 391–410, 2018.
E. Köbis, Th. T. Le and Chr. Tammer: A Generalized Scalarization Method in Set Optimization with respect to Variable Domination Structures. Vietnam Journal of Mathematics 46(1), 95–125, 2018.
N. Hebestreit and E. Köbis: Representation of Set Relations in Real Linear Spaces. Journal of Nonlinear and Convex Analysis 19(2), 287-296, 2018.
J. Chen, E. Köbis, M. A. Köbis and J.-C. Yao: Image Space Analysis for Constrained Inverse Vector Variational Inequalities via Multiobjective Optimization. Journal of Optimization Theory and Applications, http://link.springer.com/article/10.1007/s10957-017-1197-x , 2017.
C. Gutiérrez, L. Huerga, E. Köbis and Chr. Tammer: Approximate Solutions of Set-Valued Optimization Problems Using Set-Criteria. Applied Analysis and Optimization 1(3), 477-500, 2017.
E. Köbis: Robust Approaches to Uncertain Optimization. Bulletin of Statistics and Operations Research 33(3), 224-257, 2017.
E. Köbis: Variable Ordering Structures in Set Optimization. Journal of Nonlinear and Convex Analysis 18(9), 1571-1589, 2017.
E. Köbis, Th. T. Le, Chr. Tammer and J.-C. Yao: A New Scalarizing Functional in Set Optimization with respect to Variable Domination Structures. Applied Analysis and Optimization 1(2), 311-326, 2017.
J. Chen, E. Köbis, M. A. Köbis and J.-C. Yao: Optimality Conditions for Solutions of Constrained Inverse Vector Variational Inequalities by Means of Nonlinear Scalarization. Journal of Nonlinear and Variational Analysis 1(2), 145-158, 2017.
E. Köbis, Chr. Tammer and J.-C. Yao: Optimality Conditions for Set-valued Optimization Problems based on Set Approach and Applications in Uncertain Optimization. Journal of Nonlinear and Convex Analysis 18(6), 1001-1014, 2017.
E. Köbis: Set Optimization by Means of Variable Order Relations. Optimization 66(12), 1991-2005, 2017.
E. Köbis and Chr. Tammer: Robust Vector Optimization with a Variable Domination Structure. Carpathian Journal of Mathematics 33(3), 343-351, 2017.
J. Chen, E. Köbis, M.A. Köbis and J.-C. Yao: A New Set Order Relation in Set Optimization. Journal of Nonlinear and Convex Analysis 18(4), 637-649, 2017.
E. Köbis, D. Kuroiwa and Chr. Tammer: Generalized Set Order Relations and Their Numerical Treatment. Applied Analysis and Optimization 1(1), 45-65, 2017.
K. Klamroth, E. Köbis, A. Schöbel and Chr. Tammer: A Unified Approach to Uncertain Optimization. European Journal of Operational Research 260(2), 403-420, 2017.
M. Bischoff, J. Jahn and E. Köbis: Hard Uncertainties in Multiobjective Layout Optimization of Photovoltaic Power Plants. Optimization 66(3), 361-380, 2017.
E. Köbis and M. A. Köbis: Treatment of Set Order Relations by Means of a Nonlinear Scalarization Functional: A Full Characterization. Optimization 65(10), 1805-1827, 2016.
E. Köbis, M. A. Köbis and J.-C. Yao: Generalized Upper Set Less Order Relation by Means of a Nonlinear Scalarization Functional. Journal of Nonlinear and Convex Analysis 17(4), 725-734, 2016.
E. Köbis: On Robust Optimization: Relations Between Scalar Robust Optimization and Unconstrained Multicriteria Optimization. Journal of Optimization Theory and Applications 167 (3), 969-984, 2015.
J. Ide and E. Köbis: Concepts of Efficiency for Uncertain Multi-Objective Optimization Problems Based on Set Order Relations. Mathematical Methods of Operations Research 80 (1), 99-127, 2014.
J. Ide, E. Köbis, D. Kuroiwa, A. Schöbel and Chr. Tammer: The Relationship Between Multi-Objective Robustness Concepts and Set-Valued Optimization. Fixed Point Theory and Applications 83, DOI 10.1186/1687-1812-2014-83, 2013.
K. Klamroth, E. Köbis, A. Schöbel and Chr. Tammer: A Unified Approach for Different Concepts of Robustness and Stochastic Programming via Nonlinear Scalarizing Functionals. Optimization 62(5), 649-671, 2013.
Book Chapters
A. A. Khan, E. Köbis and Chr. Tammer: Scalarization Methods in Multicriteria Optimization, Robustness, Risk Theory and Finance. In: M. Al-Shammari and H. Masri (Eds.): Multiple Criteria Decision Making in Finance, Insurance and Investment, Springer, 2015.
Refereed Conference Proceedings
E. Köbis and Chr. Tammer: Characterization of Set Relations by Means of a Nonlinear Scalarization Functional. In Hoai An Le Thi, Tao Pham Dinh and Ngoc Thanh Nguyen, Editors, Modelling, Computation and Optimization in Information Systems and Management Sciences, Volume 359 of Advances in Intelligent Systems and Computing, pages 491-503, Springer International Publishing, 2015.
E. Köbis and Chr. Tammer: Relations Between Strictly Robust Optimization Problems and a Nonlinear Scalarization Method. AIP Conference Proceedings 1479: 2371-2374, 2012.
Published Theses
E. Köbis: On Robust Optimization: A Unified Approach to Robustness Using a Nonlinear Scalarizing Functional and Relations to Set Optimization (PhD-thesis, Halle, Univ., Naturwissenschaftliche Fakultät II, 2014).
E. Köbis: N-Standortprobleme mit linearer Barriere (engl.: N-Location Problems with a Line Barrier), München, GRIN Verlag, 2011, ISBN (eBook): 9783656305057, ISBN (Book): 9783656306733 (Master-thesis).
Edited Books
Special Issue "Separation of Non-convex Sets using Functionals with Uniform Level Sets" of the "Journal of Applied and Numerical Optimization" dedicated to Christiane Tammer, Editors: R. Elster, A. A. Khan, E. Köbis, J. E. Martínez-Legaz (in preparation, to appear 2019).
Special Issue "International Workshop on Nonlinear and Variational Analysis 2019, Tianjin, China", of the international journal "Optimization", Editors: E. Köbis, J. Li, A. Petrusel, J.-C. Yao (to appear 2020).
Special Issue "International Workshop on Nonlinear and Variational Analysis 2018, Kaohsiung, Taiwan", of the international journal "Optimization", Editors: M. Durea, A. A. Khan, E. Köbis, N. D. Yen, J.-C. Yao (to appear 2019).
Special Issue "International Workshop on Nonlinear and Variational Analysis 2017, Kaohsiung, Taiwan" of the international journal "Optimization", Q. H. Ansari, E. Köbis, J. E. Martínez-Legaz, J.-C. Yao, 67(9), 2018.
Special Issue "International Workshop on Applied Analysis and Optimization 2017, Taichung, Taiwan" of the international journal "Applied Analysis and Optimization", E. Köbis, Chr. Tammer, 1(3), 2017.
