Preface -- Contents -- Scalar Derivatives in Euclidean Spaces -- Scalar Derivatives of Mappings in Euclidean Spaces -- Some Basic Results Concerning Skew-Adjoint Operators -- The Scalar Derivative and its Fundamental Properties -- Case n=2. The Relation of the Scalar Derivative with the Complex Derivative -- Miscellanea Concerning Scalar Differentiability -- Characterization of Monotonicity by Scalar Derivatives -- Computational Formulae for the Scalar Derivative -- Scalar Derivatives and Directional Derivatives -- Applications -- Monotonicity, Scalar Differentiability, and Conformity -- The Coefficient of Conformity and the Conformal Derivative -- Monotone Vector Fields and Expansive Maps -- Asymptotic Derivatives and Asymptotic Scalar Derivatives -- Asymptotic Differentiability in Banach Spaces -- Hyers--Ulam Stability and Asymptotic Derivatives -- Asymptotic Differentiability Along a Convex Cone in a Banach Space -- Asymptotic Differentiability in Locally Convex Spaces -- The Asymptotic Scalar Differentiability -- Some Applications -- Scalar Derivatives in Hilbert Spaces -- Calculus -- Introduction -- Some Basic Results Concerning Skew-Adjoint Operators -- Scalar Derivatives and Scalar Differentiability -- Characterization of Monotone Mappings by Using Scalar Derivatives -- Computational Formulae for the Scalar Derivatives -- Inversions -- Fixed Point Theorems Generated by Krasnoselskii's Fixed Point Theorem -- Surjectivity Theorems -- Variational Inequalities and Complementarity Problems -- Duality in Nonlinear Complementarity Theory -- Preliminaries -- Complementarity Problem -- Exceptional Family of Elements -- Infinitesimal Exceptional Family of Elements -- A Duality and Main Results -- Duality of Implicit Complementarity Problems -- Implicit Complementarity Problem -- Exceptional Family of Elements for an Ordered Pair of Mappings.

Infinitesimal Exceptional Family of Elements for an Ordered Pair of Mappings -- A Duality and Main Results -- Duality of Multivalued Complementarity Problems -- Preliminaries -- Approachable and Approximable Mappings -- Complementarity Problem -- Inversions of Set-Valued Mappings -- Exceptional Family of Elements -- Infinitesimal Exceptional Family of Elements -- A Duality and Main results -- The Asymptotic Browder--Hartman--Stampacchia Condition and Interior Bands of -Solutions for Nonlinear Complementarity Problems -- Preliminaries -- The Browder--Hartman--Stampacchia Condition -- The asymptotic Browder--Hartman--Stampacchia condition -- Infinitesimal Interior-Point--Exceptional Families -- Results Related to Properties (a) and (b) of the Interior Band Mapping U -- Comments -- REFE-Acceptable Mappings and a Necessary and Sufficient Condition for the Nonexistence of Regular Exceptional Families of Elements -- REFE-Acceptable Mappings -- Mappings Without Regular Exceptional Family of Elements. A necessary and Sufficient Condition -- Scalar Derivatives in Banach Spaces -- Preliminaries -- Semi-inner Products -- Inversions -- Scalar Derivatives -- Fixed Point Theorems in Banach Spaces -- A Fixed Point Index for -condensing Mappings -- An Altman-type Fixed Point Theorem -- Integral Equations -- Applications of Krasnoselskii-Type Fixed Point Theorems -- Applications of Altman-Type Fixed Point Theorems -- Monotone Vector Fields on Riemannian Manifoldsand Scalar Derivatives -- Geodesic Monotone Vector Fields -- Geodesic Monotone Vector Fields and Convex Functionals -- Geodesic Monotone Vector Fields and the First Variation of the Length of a Geodesic -- Closed Geodesics and Geodesic Monotone Vector Fields -- The Geodesic Monotonicity of Position Vector Fields -- Geodesic Scalar Derivative -- Geodesic Monotone Vector Fields on Sn.

Geodesic Monotone Vector Fields on Hn -- Killing Monotone Vector Fields -- Expansive One-Parameter Transformation Groups -- Geodesic Scalar Derivatives and Conformity -- Projection Maps on Hadamard Manifolds -- Some Basic Consequences of the Comparison Theorems -- The Complementary Vector Field of a Map -- Projection maps generating monotone vector fields -- Nonexpansive Maps -- Some Other Consequences of the Comparison Theorems -- Nonexpansive Maps Generating Monotone Vector Fields -- Zeros of Monotone Vector Fields -- Homeomorphisms and Monotone Vector Fields -- Preliminary Results -- Homeomorphisms of Hadamard Manifolds -- References -- Index.