Optimization on Metric and Normed Spaces

2010
ISBN: 978-1-4614-2640-0
Verlag: Springer

Buch, Englisch, Band 44, 434 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 674 g

Reihe: Springer Optimization and Its Applications

"Optimization on Metric and Normed Spaces" is devoted to the recent progress in optimization on Banach spaces and complete metric spaces.
Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the last ten years.
The book is intended for mathematicians interested in optimization and applied functional analysis.

Zielgruppe

Research

Autoren/Hrsg.

Zaslavski, Alexander J.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Exact Penalty in Constrained Optimization.- Stability of the Exact Penalty.- Generic Well-Posedness of Minimization Problems.- Well-Posedness and Porosity.- Parametric Optimization.- Optimization with Increasing Objective Functions.- Generic Well-Posedness of Minimization Problems with Constraints.- Vector Optimization.- Infinite Horizon Problems.