TY - BOOK AU - Németh,Sándor Zoltán AU - Isac,George ED - SpringerLink (Online service) TI - Scalar and Asymptotic Scalar Derivatives: Theory and Applications T2 - Springer Optimization and Its Applications, SN - 9780387739885 PY - 2008/// CY - Boston, MA PB - Springer US KW - MATHEMATICS N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-0-387-73988-5 ER -