TY - BOOK
AU - Zaslavski,Alexander J.
ED - SpringerLink (Online service)
TI - Optimization on Metric and Normed Spaces
T2 - Springer Optimization and Its Applications,
SN - 9780387886213
AV - TA342-343
U1 - 003.3 23
PY - 2010///
CY - New York, NY
PB - Springer New York
KW - Mathematics
KW - Functional analysis
KW - Numerical analysis
KW - Mathematical models
KW - Calculus of variations
KW - Operations research
KW - Management science
KW - Mathematical Modeling and Industrial Mathematics
KW - Numerical Analysis
KW - Functional Analysis
KW - Operations Research, Management Science
KW - Calculus of Variations and Optimal Control; Optimization
N1 - 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
N2 - "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
UR - http://dx.doi.org/10.1007/978-0-387-88621-3
ER -