Well-Posed Optimization Problems

ISBN-13: 9783540567370 / Angielski / Miękka / 1993 / 424 str.

A. L. Dontchev; Asen L. Dontchev; Tullio Zolezzi

Opis

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.

Spis treści

Tykhonov well-posedness.- Hadamard and tykhonov well-posedness.- Generic well-posedness.- Well-posedness and variational, epi- and mosco convergences.- Well-posedness in optimal control.- Relaxation and value hadamard well-posedness in optimal control.- Singular perturbations in optimal control.- Well-posedness in the calculus of variations.- Hadamard well-posedness in mathematical programming.