Optimization on solution sets of common fixed point problems [Documento eletrónico] / by Alexander J. Zaslavski
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer, 2021Description: XI, 434 p.ISBN: 978-3-030-78849-0.Series: Springer optimization and its applications, 178Subject - Topical Name: Mathematical optimization | Calculus of variations | Operations research | Management science | Numerical analysis Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA402.5.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 97305 |
This book is devoted to a detailed study of the subgradient projection method and its variants for convex optimization problems over the solution sets of common fixed point problems and convex feasibility problems. These optimization problems are investigated to determine good solutions obtained by different versions of the subgradient projection algorithm in the presence of sufficiently small computational errors. The use of selected algorithms is highlighted including the Cimmino type subgradient, the iterative subgradient, and the dynamic string-averaging subgradient. All results presented are new. Optimization problems where the underlying constraints are the solution sets of other problems, frequently occur in applied mathematics. The reader should not miss the section in Chapter 1 which considers some examples arising in the real world applications. The problems discussed have an important impact in optimization theory as well. The book will be useful for researches interested in the optimization theory and its applications.
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