Equilibrium and Minimax Problems

Existence, Stability and Algorithms
Erscheinungsjahr 2026
ISBN: 978-3-032-22181-0
Verlag: Springer Nature Switzerland AG

Buch, Englisch, 483 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Trends in Mathematics

This book revolves around minimax and equilibrium problems, optimization problems and set-optimization, optimal control problems, differential equations and evolution problems. The book sufficiently covers the deterministic aspect as well as problems with presence of parametric perturbations. An important part of the book is devoted to the problems of evolution, population dynamics and parametric differential equations besides quasi-equilibrium problems where we are interested not only in quantitative stability of such problems under perturbation effects but also in the convergence over time of trajectories towards solutions of optimization problems through inertial dynamics.   The book is composed of sixteen chapters written in a simple and constructive style with a view to offering young doctoral students a supporting and a highly informative reference on current topics in the considered fields by underlining the key ideas of the main resolution methods with an emphasis on applications to different related fields.

Zielgruppe

Research

Autoren/Hrsg.

Ait Mansour, Mohamed

Khan, Akhtar

Riahi, Hassan

Tammer, Christiane

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung

Inhaltsverzeichnis

Chapter 1. On Some Results and Research Perspectives in Minimax Theory.- Chapter 2. Recent Advances of the Minimax Theorem and its Applications.- Chapter 3. A Meaningful Relaxation of the Inertial Proximal Splitting Algorithm for Solving Hierarchical Equilibrium Problems: Weak And Strong Convergences.- Chapter 4. Exploring Complementarity Problems: Applications and Specialized Algorithms.- Chapter 5. The Variational Inequality Framework for Network Games: A Review.- Chapter 6. Optimizing Smart Parcel Locker Networks for Urban Last-Mile Sustainability.- Chapter 7. Recent Advances in Evolutionary Game Theory: Challenges and Cross-Disciplinary Applications.- Chapter 8. On the -Contraction Mapping Principle and Stability of Quasi-equilibrium Problems.- Chapter 9. Stable Time-Dependent Parametric Elastic Traffic Quasi-Equilibria.- Chapter 10. On Strongly Convex Sets and Farthest Distance Functions.- Chapter 11. Subdifferentials of Set-Valued Maps – A Unitary Approach and Some Applications.- Chapter 12. Recent Advances in Optimality Conditions for Bilevel Optimization and Generalized Equilibrium Problems.- Chapter 13. Semivectorial Bilevel Optimization with Nash Equilibrium Constraints: Reformulations and Optimality Conditions.- Chapter 14. Spatiotemporal Epidemic Control Through a Regional Strategy in an SEIAR Model.- Chapter 15. Well-Posedness and Control Design of a Mass Structured Cell
Population Balance Model.- Chapter 16. Optimal Control and Approximate Controllability for a Class Of Partial Functional Integrodifferential Inclusions With Infinite Delay.

Über Autor(innen)

Mohamed Ait Mansour is a professor of mathematics at Cadi Ayyad University.

Akhtar Khan is a professor of mathematics at Rochester Institute of Technology.

Hassan Riahi is a professor of mathematics at Cadi Ayyad University.

Christiane Tammer is a professor of mathematics at the Martin Luther University of Halle-Wittenberg.