Martin-Luther-Universität Halle-Wittenberg

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Elisabeth Köbis

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Dr. Elisabeth Köbis

Raum E.18.0
Georg-Cantor-Haus
Theodor-Lieser-Str. 5
06120 Halle (Saale)

Telefon: +49-345-55-24682
Telefax: +49-345-55-27005

Postanschrift:
Martin-Luther-Universität Halle-Wittenberg
06099 Halle (Saale)

Forschungsinteressen

  • Vektor-Variationsungleichungen
  • Robuste Optimierung
  • Robuste Ansätze für unsichere mehrkriterielle Optimierungsprobleme
  • Mengenoptimierung
  • Einheitliche Ansätze zur unsicheren Optimierung
  • Nichtlineare Skalarisierung

Herausgebertätigkeiten

Managing Editor: Optimization   

Editor: Communications in Combinatorics and Optimization   , Applied Set-Valued Analysis and Optimization   

Gasteditor: Applied Analysis and Optimization   

Lehre

Winter 2019/20Optimierung II (Operations Research) (Vorlesung)
Sommer 2018Optimierung I (Lineare Optimierung) (Übung)
Nichtlineare Optimierung (Übung)
Winter 2017/18Optimierung II (Operations Research) (Vorlesung)
Sommer 2017Optimierung I (Lineare Optimierung) (Übung)
Nichtlineare Optimierung (Übung)
Winter 2016/17Optimierung II (Operations Research) (Vorlesung)
Sommer 2017Optimierung I (Lineare Optimierung) (Übung)
Nichtlineare Optimierung (Übung)
Winter 2015/16Mathematik für Ingenieure III (Übung, Universität Erlangen)
Sommer 2015Ingenieurmathematik III (Übung und Tutorium, in englischer Sprache, Universität Erlangen)
Winter 2014/15Lineare und konvexe Optimierung (Übung und Tutorium, Universität Erlangen)
Sommer 2014Mathematik für Ingenieure II (Übung, Universität Erlangen)

Herausgeberschrift

Variational  Analysis and Set Optimization: Developments and Applications in  Decision Making. Editors: A. A. Khan, E. Köbis, Chr. Tammer. Science  Publishers, CRC Press, Taylor & Francis Group, 2019.   

Monographie

Q. H. Ansari, E. Köbis, J.-C. Yao: Vector Variational Inequalities and Vector Optimization. Theory and Applications. Springer, Berlin, Heidelberg, 2018.   

Publikationen in Fachzeitschriften

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 (zur Veröffentlichung angenommen), 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 (zur Veröffentlichung angenommen), 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 (zur Veröffentlichung angenommen), 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, J.-C. Yao: Necessary conditions for solutions of set optimization problems with respect to variable domination structures.  Journal of Pure and Applied Functional Analysis (zur Veröffentlichung angenommen), 2018.

E. Köbis, M. A. Köbis: Overshoot Optimized Newmark Methods. Investigación Operacional 39(3), 391–410, 2018.

E. Köbis, Th. T. Le, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, Chr. Tammer: A Unified Approach to Uncertain Optimization. European Journal of Operational Research 260(2), 403-420,  2017.

M. Bischoff, J. Jahn, E. Köbis: Hard Uncertainties in Multiobjective Layout Optimization of Photovoltaic Power Plants.  Optimization 66(3), 361-380, 2017.

E. Köbis, 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, 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, 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, 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, Chr. Tammer: A Unified Approach for Different Concepts of Robustness and Stochastic Programming via Nonlinear Scalarizing Functionals. Optimization 62(5), 649-671, 2013.

Buchkapitel

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.

Referierte Konferenzbeiträge

E. Köbis, 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, Chr.  Tammer: Relations Between Strictly Robust Optimization Problems and a  Nonlinear Scalarization Method. AIP Conference Proceedings 1479:  2371-2374, 2012.

Abschlussarbeiten

E. Köbis: On Robust Optimization: A Unified Approach to Robustness Using  a Nonlinear Scalarizing Functional and Relations to Set Optimization (Dissertation, Halle, Univ., Naturwissenschaftliche Fakultät II, 2014).

E.  Köbis: N-Standortprobleme mit linearer Barriere, München, GRIN Verlag, 2011, ISBN (eBook):  9783656305057, ISBN (Book): 9783656306733 (Master-Arbeit).

Bücher

Sonderausgabe "Separation of Non-convex Sets using  Functionals with Uniform Level Sets" of the "Journal of Applied and  Numerical Optimization", Editors: R.  Elster, A. A. Khan, E. Köbis, J. E. Martínez-Legaz (in Vorbereitung).

Sonderausgabe "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 (in Vorbereitung).

Sonderausgabe "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 (in Vorbereitung).

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.

Colloquium & International Conference on Variational Analysis and Nonsmooth Optimization

Previously Co-Organized Conference: Colloquium & International Conference on Variational Analysis and Nonsmooth Optimization

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