Scalar and asymptotic scalar derivatives : theory and applications / by George Isac, Sandor Zoltan Nemeth.

Format:

Book

Author/Creator:

Isac, George.

Contributor:

Németh, Sándor Zoltán.

Series:

Springer optimization and its applications ; v. 13.

Springer optimization and its applications ; v. 13

Language:

English

Subjects (All):

Numerical analysis.

Scalar field theory.

Physical Description:

1 online resource (252 p.)

Edition:

1st ed. 2008.

Place of Publication:

New York : Springer, c2008.

Language Note:

English

Summary:

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.

Contents:

Scalar Derivatives in Euclidean Spaces

Asymptotic Derivatives and Asymptotic Scalar Derivatives

Scalar Derivatives in Hilbert Spaces

Scalar Derivatives in Banach Spaces

Monotone Vector Fields on Riemannian Manifolds and Scalar Derivatives.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-49351-1

9786611493516

0-387-73988-2

OCLC:

272298664