Variational Analysis and Set Optimization -
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Présentation Variational Analysis And Set Optimization de Format Relié
- Livre Économie
Résumé : 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 methods help practitioners efficiently solve set optimization problems in real-world situations. Moreover, applications in economics, finance and risk theory are discussed. These simple techniques are designed to help practitioners in the decision-making process, as well as to give an overview of nondominated solutions to choose from.
Sommaire: 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.
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