Scalar and asymptotic scalar derivatives: theory and applications

This book is devoted to the study of scalar and asymptotic scalar derivativesand 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 the 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. It fills a gap in the literature as the first book to appear on the subject. Presents the theory and applications of scalar and asymptotic derivatives. Systematic, clear and coherent presentation INDICE: Preface. 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. Index. References.

• ISBN: 978-0-387-73987-8
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 270
• Fecha Publicación: 01/03/2008
• Nº Volúmenes: 1
• Idioma: Inglés