prelaceacknowledgementschapter 1��functions defined implicitly by equations 1a��the classical inverse function theorem 1b��the classical implicit function theorem 1c��calmness 1d��lipschitz continuity 1e��lipschitz invertibility from approximations 1e selections of multi��valued inverses 1g��selections from nonstrict differentiabilitychapter 2��implicit function theorems for variational problems 2a��generalized equations and variational problems 2b��implicit function theorems for generalized equations 2c��ample parameterization and parametric robustness 2d��semidifferentiable functions 2e��variational inequalities with polyhedral convexity 2e variational inequalities with monotonicity 2g��consequences for optimizationchapter 3��regularity properties of set-valued solution mappings 3a��set convergence 3b��continuity of set-valued mappings 3c��lipschitz continuity of set��valued mappings 3d��outer lipschitz continuity 3e��aubin property��metric regularity and linear openness 3f��implicit mapping theorems with metric regularity 3g��strong metric regularity 3h��calmness and metric subregularity 3i��strong metric subregularitychapter 4��regularity properties through generalized derivatives 4a��graphical differentiation 4b��derivative criteria for the aubin property 4c��characterization of strong metric subregularity 4d��applications to parameterized constraint systems 4e��isolated calmness for variational inequalities 4f��single��valued iocalizations for variational inequalities 4g��special nonsmooth inverse function theorems 4h��results utilizing coderivativeschapter 5��regularity in infinite dimensions 5a��openness and positively homogeneous mappings 5b��mappings with closed and convex graphs 5c��sublinear mappings 5d��the theorems of lyusternik and graves 5e��metric regularity in metric spaces 5f��strong metric regularity and implicit function theorems 5g��the bartle-graves theorem and extensionschapter 6��applications in numerical variational analysis 6a��radius theorems and conditioning 6b��constraints and feasibility 6c��iterative processes for generalized equations 6d��an implicit function theorem for newton��s iteration 6e��galerkin��s method for quadratic minimization 6f��approximations in optimal control references notationindex