Preface.- 1. Scalar Derivatives in Euclidean Spaces.- 2. Asymptotic Derivatives and Asymptotic Scalar Derivatives.- 3. Scalar Derivatives in Hilbert Spaces.- 4. Scalar Derivatives in Banach Spaces.- 5. Monotone Vector Fields on Riemannian Manifolds and Scalar Derivatives.-References.- Index.
This extremely useful 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 the non-gradient type monotonicity on Riemannian manifolds. The text is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry and applied mathematics.
Presents the theory and applications of scalar and asymptotic derivatives
Systematic, clear and coherent presentation