George Isac Livres

Focusing on complementarity theory and variational inequalities, this book explores their interconnections with fundamental mathematics and their applications in optimization, economics, and engineering. It introduces Leray-Schauder type alternatives to provide a fresh perspective on these topics. As the first comprehensive discussion of its kind, the work serves as a foundational resource for future advancements in these areas, making it a significant contribution to the field of applied mathematics.

This book presents several new results on the best simultaneous approximation in locally convex spaces. The concept of nuclear cone is systematically used to establish some interesting relations with Pareto optimization and the duality for vectorial optimization programs with multifunctions.