Optimization on Solution Sets of Common Fixed Point Problems

Optimization on Solution Sets of Common Fixed Point Problems
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Total Pages : 0
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ISBN-10 : 3030788504
ISBN-13 : 9783030788506
Rating : 4/5 (04 Downloads)

Book Synopsis Optimization on Solution Sets of Common Fixed Point Problems by : Alexander J. Zaslavski

Download or read book Optimization on Solution Sets of Common Fixed Point Problems written by Alexander J. Zaslavski and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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