Scalar and Asymptotic Scalar Derivatives: Theory and Applications: 13 (Springer Optimization and Its Applications) - Tapa blanda

Isac, George; Németh, Sándor Zoltán

 
9781441944849: Scalar and Asymptotic Scalar Derivatives: Theory and Applications: 13 (Springer Optimization and Its Applications)
Tapa blanda
ISBN 10: 1441944842 ISBN 13: 9781441944849
Editorial: Springer, 2010

Sinopsis

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to the study of some problems considered in nonlinear analysis, in geometry, and in applied mathematics. The notion of a scalar derivative is due to S. Z. Nemeth, ´ and the notion of an asymptotic scalar derivative is due to G. Isac. Both notions are recent, never considered in a book, and have interesting applications. About applications, we cite applications to the study of complementarity problems, to the study of xed points of nonlinear mappings, to spectral nonlinear analysis, and to the study of some interesting problems considered in differential geometry and other applications. A new characterization of monotonicity of nonlinear mappings is another remarkable application of scalar derivatives. A relation between scalar derivatives and asymptotic scalar derivatives, - alized by an inversion operator is also presented in this book. This relation has important consequences in the theory of scalar derivatives, and in some applications. For example, this relation permitted us a new development of the method of exceptional family of elements, introduced and used by G. Isac in complementarity theory. Now, we present a brief description of the contents of this book. Chapter 1 is dedicated to the study of scalar derivatives in Euclidean spaces.

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De la contraportada

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry, and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings ,and non-gradient type monotonicity on Riemannian manifolds. Scalar and Asymptotic Derivatives: Theory and Applications also presents the material in relation to Euclidean spaces, Hilbert spaces, Banach spaces, Riemannian manifolds, and Hadamard manifolds.

This book is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry, and applied mathematics. In addition, it fills a gap in the literature as the first book to appear on the subject.

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Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1441944842
ISBN 13 
9781441944849
Encuadernación
Tapa blanda
Número de páginas
260
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9780387739878: Scalar and Asymptotic Scalar Derivatives: Theory and Applications: 13 (Springer Optimization and Its Applications)

Edición Destacada

ISBN 10:  0387739874 ISBN 13:  9780387739878
Editorial: Springer, 2008
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