Textbook in PDF format
Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developments are discussed at the end of each chapter with comprehensive commentaries which emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research.
Constructions of Generalized Differentiation
Fundamental Principles of Variational Analysis
Well-Posedness and Coderivative Calculus
First-Order Subdifferential Calculus
Coderivatives of Maximal Monotone Operators
Nondifferentiable and Bilevel Optimization
Semi-infinite Programs with Some Convexity
Nonconvex Semi-infinite Optimization
Variational Analysis in Set Optimization
Set-Valued Optimization and Economics