Leray-Schauder Type Alternatives, Complementarity Problems and Variational Inequalities

2006. Auflage 2006
ISBN: 978-0-387-32898-0
Verlag: Springer

Buch, Englisch, Band 87, 338 Seiten, Format (B × H): 155 mm x 236 mm, Gewicht: 1480 g

Reihe: Nonconvex Optimization and Its Applications

Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics and also has many applications in optimization, economics and engineering. The study of variational inequalities is another domain of applied mathematics with many applications to the study of certain problems with unilateral conditions. This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. The ideas and method presented in this book may be considered as a starting point for new developments.

Zielgruppe

Research

Autoren/Hrsg.

Isac, George

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Preliminary Notions.- Complementarity Problems and Variational Inequalities.- Leray-Schauder Alternatives.- The Origin of the Notion of Exceptional Family of Elements.- Leray-Schauder Type Alternatives. Existence Theorems.- Infinitesimal Exceptional Family of Elements.- More about the Notion of Exceptional Family of Elements.- Exceptional Family of Elements and Variational Inequalities.