登入選單
返回Google圖書搜尋
Optimization on Metric and Normed Spaces
Alexander J. Zaslavski
出版Springer, 2010-08-05
主題Mathematics / AppliedMathematics / Numerical AnalysisMathematics / Functional AnalysisBusiness & Economics / Operations ResearchBusiness & Economics / Management ScienceMathematics / OptimizationMathematics / Probability & Statistics / Stochastic Processes
ISBN03878862149780387886213
URLhttp://books.google.com.hk/books?id=WIdd4HoA47MC&hl=&source=gbs_api
EBookSAMPLE
註釋"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.