Nonsmooth Equations in Optimization - Regularity, Calculus, Methods and Applications (Hardcover, 2002 ed.)

Many questions dealing with solvability, stability and solution methods for va- ational inequalities or equilibrium, optimization and complementarity problems lead to the analysis of certain (perturbed) equations. This often requires a - formulation of the initial model being under consideration. Due to the specific of the original problem, the resulting equation is usually either not differ- tiable (even if the data of the original model are smooth), or it does not satisfy the assumptions of the classical implicit function theorem. This phenomenon is the main reason why a considerable analytical inst- ment dealing with generalized equations (i.e., with finding zeros of multivalued mappings) and nonsmooth equations (i.e., the defining functions are not c- tinuously differentiable) has been developed during the last 20 years, and that under very different viewpoints and assumptions. In this theory, the classical hypotheses of convex analysis, in particular, monotonicity and convexity, have been weakened or dropped, and the scope of possible applications seems to be quite large. Briefly, this discipline is often called nonsmooth analysis, sometimes also variational analysis. Our book fits into this discipline, however, our main intention is to develop the analytical theory in close connection with the needs of applications in optimization and related subjects. Main Topics of the Book 1. Extended analysis of Lipschitz functions and their generalized derivatives, including "Newton maps" and regularity of multivalued mappings. 2. Principle of successive approximation under metric regularity and its - plication to implicit functions.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Nonconvex Optimization and Its Applications, 60
Release date:	May 2002
First published:	2002
Authors:	Diethard Klatte • B. Kummer
Dimensions:	234 x 156 x 20mm (L x W x T)
Format:	Hardcover
Pages:	333
Edition:	2002 ed.
ISBN-13:	978-1-4020-0550-3
Categories:	Books > Computing & IT > Computer programming > General Books > Science & Mathematics > Mathematics > Optimization > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	1-4020-0550-4
Barcode:	9781402005503

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