Iterative Approximation of Fixed Points

Berinde, Vasile

ISBN 10: 3540722335 / ISBN 13: 9783540722335

Editore: Springer Verlag, 2007

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2nd rev. and enlarged ed. edition. 322 pages. 8.75x6.00x0.75 inches. In Stock. Codice articolo x-3540722335

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Titolo: Iterative Approximation of Fixed Points

Casa editrice: Springer Verlag

Data di pubblicazione: 2007

Legatura: Paperback

Condizione: Brand New

Edizione: seconda edizione

Descrizione articolo

Riassunto:

This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.

Recensione:

From the reviews of the second edition:

"This is a very thoroughly revised and enlarged version of the author’s previous monograph with the same title ... . The book is a surprisingly pleasant reading, a very well done elaboration ... . I suggest it to all departments of numerical analysis both for researchers, teachers and students. It will also be extremely useful for researchers in all branches of natural sciences and engineers working with non-linear equations." (László L. Stachó, Acta Scientiarum Mathematicarum, Vol. 74, 2008)

"There is a huge amount of existence results for fixed points, very often from a purely theoretical viewpoint ... . Specialists in the field will find the list of more than 1500 references particularly useful ... this book may also serve as a guide to the literature." (Jürgen Appell, Zentralblatt MATH, Vol. 1165, 2009)