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.
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 𝜀-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.
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.
