Variational Analysis and Set Optimization
Developments and Applications in Decision Making
Herausgeber: Khan, Akhtar A; Tammer, Christiane; Köbis, Elisabeth
Variational Analysis and Set Optimization
Developments and Applications in Decision Making
Herausgeber: Khan, Akhtar A; Tammer, Christiane; Köbis, Elisabeth
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This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control, and bilevel optimization. In addition, recent developments concerning scalarization techniques, necessary and sufficient optimality conditions and duality statements are discussed. These new numerical m
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This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control, and bilevel optimization. In addition, recent developments concerning scalarization techniques, necessary and sufficient optimality conditions and duality statements are discussed. These new numerical m
Produktdetails
- Produktdetails
- Verlag: CRC Press
- Seitenzahl: 336
- Erscheinungstermin: 31. März 2021
- Englisch
- Abmessung: 234mm x 156mm x 18mm
- Gewicht: 472g
- ISBN-13: 9780367779726
- ISBN-10: 0367779722
- Artikelnr.: 61209990
- Verlag: CRC Press
- Seitenzahl: 336
- Erscheinungstermin: 31. März 2021
- Englisch
- Abmessung: 234mm x 156mm x 18mm
- Gewicht: 472g
- ISBN-13: 9780367779726
- ISBN-10: 0367779722
- Artikelnr.: 61209990
Akhtar Khan is a Professor at Rochester Institute of Technology. His has published more than seventy papers on set-valued optimization, inverse problems, and variational inequalities. He is a co-author of Set-valued Optimization, Springer (2015), and Co-editor of Nonlinear Analysis and Variational Problems, Springer (2009). He is Co-Editor in Chief of the Journal of Applied and Numerical Optimization, and Editorial Board member of Optimization, Journal of Optimization Theory and Applications, and Journal of Nonlinear and Variational Analysis. Elisabeth Köbis is a lecturer and researcher at Martin-Luther-University Halle-Wittenberg, Germany. She received her PhD from Martin-Luther-University Halle-Wittenberg, Germany, in 2014. Her research interests lie in vector and set optimization and its applications to uncertain optimization, in particular robust approaches to uncertain multi-objective optimization problems, and unified approaches to uncertain optimization using nonlinear scalarization, vector variational inequalities and variable domination structures. Christiane Tammer is working on the field variational analysis and optimization. She has co-authored 4 monographs, i.e. Set-valued Optimization - An Introduction with Applications. Springer (2015), Variational Methods in Partially Ordered Spaces. Springer (2003), Angewandte Funktionalanalysis. Vieweg+Teubner (2009), Approximation und Nichtlineare Optimierung in Praxisaufgaben. Springer (2017). She is the Editor in Chief of the journal Optimization and a member of the Editorial Board of several journals, the Scientific Committee of the Working Group on Generalized Convexity and EUROPT Managing Board.
Advances in Set-valued and Variational Analysis and Optimization Theory.
Metric Regularity. Solution Concepts in Set Optimization. Vector and Set
Optimization with Variable Domination Structure. Applications of Set
Optimization to Robustness and Uncertainties. Existence Results for
Generalized Variational Inequalities and Applications. Scalarization
Techniques in Set Optimization. Necessary and Sufficient Optimality
Conditions for Set Optimization Problems. Duality in Set Optimization: An
Overview of Existing Approaches and New Advances. Numerical Methods for
Solving Set Optimization Problems. Applications of Set Optimization in
Economics, Finance and Risk Theory.
Metric Regularity. Solution Concepts in Set Optimization. Vector and Set
Optimization with Variable Domination Structure. Applications of Set
Optimization to Robustness and Uncertainties. Existence Results for
Generalized Variational Inequalities and Applications. Scalarization
Techniques in Set Optimization. Necessary and Sufficient Optimality
Conditions for Set Optimization Problems. Duality in Set Optimization: An
Overview of Existing Approaches and New Advances. Numerical Methods for
Solving Set Optimization Problems. Applications of Set Optimization in
Economics, Finance and Risk Theory.
Advances in Set-valued and Variational Analysis and Optimization Theory.
Metric Regularity. Solution Concepts in Set Optimization. Vector and Set
Optimization with Variable Domination Structure. Applications of Set
Optimization to Robustness and Uncertainties. Existence Results for
Generalized Variational Inequalities and Applications. Scalarization
Techniques in Set Optimization. Necessary and Sufficient Optimality
Conditions for Set Optimization Problems. Duality in Set Optimization: An
Overview of Existing Approaches and New Advances. Numerical Methods for
Solving Set Optimization Problems. Applications of Set Optimization in
Economics, Finance and Risk Theory.
Metric Regularity. Solution Concepts in Set Optimization. Vector and Set
Optimization with Variable Domination Structure. Applications of Set
Optimization to Robustness and Uncertainties. Existence Results for
Generalized Variational Inequalities and Applications. Scalarization
Techniques in Set Optimization. Necessary and Sufficient Optimality
Conditions for Set Optimization Problems. Duality in Set Optimization: An
Overview of Existing Approaches and New Advances. Numerical Methods for
Solving Set Optimization Problems. Applications of Set Optimization in
Economics, Finance and Risk Theory.