Leray-Schauder Type Alternatives, Complementarity Problems and Variational Inequalities (Nonconvex Optimization and Its Applications) （2006）

Isac, George

Springer-Verlag New York Inc.（2014/12発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 338 p.
言語 ENG
商品コード 9781489989062
DDC分類 515.7248

Full Description

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.

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.