Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found ...
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Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the convergence of a large class of iteration methods follows from general properties of some classes of operators and from some general convergence theorems.
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Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2012
Language:
English
Alibris ID:
17980636653
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New. Contains: Illustrations, black & white, Illustrations, color. Lecture Notes in Mathematics . XVI, 298 p. 61 illus., 3 illus. in color. Intended for professional and scholarly audience.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2012
Language:
English
Alibris ID:
17987275660
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Standard Shipping: $4.63
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New. Contains: Illustrations, black & white, Illustrations, color. Lecture Notes in Mathematics . XVI, 298 p. 61 illus., 3 illus. in color. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2012
Language:
English
Alibris ID:
11494330980
Shipping Options:
Standard Shipping: $4.63
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. 298 p. Lecture Notes in Mathematics , 2057. 3 Illustrations, color; 58 Illustrations, black and white; XVI, 298 p. 61 illus., 3 illus. in color. Intended for professional and scholarly audience.