Nonsmooth Equations in Optimization

Lingua: inglese

Editore: Springer, Springer Dez 2010, 2010

1441952187 / 9781441952189

Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 364 pp. Englisch.…

Codice articolo 9781441952189

Titolo
Nonsmooth Equations in Optimization
Autore
Diethard Klatte
Editore
Springer, Springer Dez 2010
Anno di pubblicazione
2010
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
1441952187
ISBN 13
9781441952189
Peso dell'articolo
552 grammi
Dimensioni
235x155x20 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germania

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