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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¡ªvalued 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¡ªvalued 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