Optimization on Metric and Normed Spaces
Zaslavski, Alexander J.
creator
author.
SpringerLink (Online service)
text
xxu
2010
monographic
eng
access
XIV, 434 p. online resource.
"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.
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.
by Alexander J. Zaslavski.
Mathematics
Functional analysis
Numerical analysis
Mathematical models
Calculus of variations
Operations research
Management science
Mathematics
Mathematical Modeling and Industrial Mathematics
Numerical Analysis
Functional Analysis
Operations Research, Management Science
Calculus of Variations and Optimal Control; Optimization
TA342-343
003.3
Springer eBooks
Springer Optimization and Its Applications, 44
9780387886213
http://dx.doi.org/10.1007/978-0-387-88621-3
http://dx.doi.org/10.1007/978-0-387-88621-3
100805
20180115171427.0
978-0-387-88621-3