Optimization on Metric and Normed Spaces

Download or read book Optimization on Metric and Normed Spaces written by Alexander J. Zaslavski and published by Springer Science & Business Media. This book was released on 2010-08-05 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.