Presents the mathematical theory of well-posedness in optimization. Basic concepts and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems and applications to optimal control and calculus of variations are considered.
Presents the mathematical theory of well-posedness in optimization. Basic concepts and the links among them are studied, in particular Hadamard and Ty...
The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis.
This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of...
The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equat...