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Iterative Approximation of Fixed Points / by Vasile Berinde.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2380-2384 2385-2389,2392
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Berinde, Vasile, 1955- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1912.
- Lecture Notes in Mathematics, 0075-8434 ; 1912
- Language:
- English
- Subjects (All):
- Operator theory.
- Numerical analysis.
- Topology.
- Operator Theory.
- Numerical Analysis.
- Local Subjects:
- Operator Theory.
- Numerical Analysis.
- Topology.
- Physical Description:
- 1 online resource (XV, 326 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
- System Details:
- text file PDF
- Summary:
- The aim of this monograph is to give a unified introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. It summarizes the most significant contributions in the area by presenting, for each iterative method considered (Picard iteration, Krasnoselskij iteration, Mann iteration, Ishikawa iteration et cetera), some of the most relevant, interesting, representative and actual convergence theorems. Applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods, are also presented. Due to the explosive number of research papers on the topic (in the last 15 years only, more than one thousand articles related to the subject were published), it was felt that such a monograph was imperatively necessary. The volume is useful for authors, editors, and reviewers. It introduces concrete criteria for evaluating and judging the plethora of published papers.
- Contents:
- Pre-Requisites of Fixed Points
- The Picard Iteration
- The Krasnoselskij Iteration
- The Mann Iteration
- The Ishikawa Iteration
- Other Fixed Point Iteration Procedures
- Stability of Fixed Point Iteration Procedures
- Iterative Solution of Nonlinear Operator Equations
- Error Analysis of Fixed Point Iteration Procedures.
- Other Format:
- Printed edition:
- ISBN:
- 9783540722342
- Access Restriction:
- Restricted for use by site license.
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