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Leray-Schauder Type Alternatives, Complemantarity Problems and Variational Inequalities [electronic resource] /by George Isac.

by Isac, George [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Nonconvex Optimization and Its Applications: 87Publisher: Boston, MA : Springer US, 2006.Description: XIV, 338 p. online resource.ISBN: 9780387329000.Subject(s): Mathematics | Functional analysis | Mathematical optimization | Mathematics | Optimization | Functional Analysis | Applications of Mathematics | Game Theory, Economics, Social and Behav. SciencesDDC classification: 519.6 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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. Audience This book is intended for researchers and advanced graduate students in optimization, applied nonlinear analysis, complementarity theory, the theory of variational inequalities, and operations research.
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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.

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. Audience This book is intended for researchers and advanced graduate students in optimization, applied nonlinear analysis, complementarity theory, the theory of variational inequalities, and operations research.

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