Variable Ordering Structures in Vector Optimization

Focusing on vector optimization, this book introduces variable ordering structures, where elements of a vector-valued objective function are compared through a family of convex cones. It highlights recent applications that have renewed interest in these optimization challenges. The text covers fundamental concepts and significant results, including optimality notions, scalarization functionals, and duality results. Additionally, it provides practical numerical methods for solving these optimization problems, making it a comprehensive resource for both theory and application.