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1. |
Record Nr. |
UNINA9910450118903321 |
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Autore |
Agarwal Ravi P. |
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Titolo |
Fixed point theory and applications / / Ravi P. Agarwal, Maria Meehan, Donal O'Regan [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2001 |
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ISBN |
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1-107-12310-0 |
1-280-43323-X |
9786610433230 |
0-511-17734-8 |
0-511-02094-5 |
0-511-15830-0 |
0-511-32569-X |
0-511-54300-X |
0-511-04785-1 |
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Descrizione fisica |
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1 online resource (x, 170 pages) : digital, PDF file(s) |
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Collana |
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Cambridge tracts in mathematics ; ; 141 |
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Disciplina |
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Soggetti |
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Fixed point theory |
Mappings (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. 159-167) and index. |
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Nota di contenuto |
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Contractions -- Nonexpansive maps -- Continuation methods for contractive and nonexpansive mappings -- Theorems of brouwer, schauder and mönch -- Nonlinear alternatives of leray-schauder type -- Continuation principles for condensing maps -- Fixed point theorems in conical shells -- Fixed point theory in hausdorff locally convex linear topological spaces -- Contractive and nonexpansive multivalued maps -- Multivalued maps with continuous selections -- Multivalued maps with closed graph -- Degree theory. |
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Sommario/riassunto |
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This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The |
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theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type. |
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2. |
Record Nr. |
UNICAMPANIAVAN00035985 |
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Autore |
Lucifredi, Pier Giorgio |
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Titolo |
1: Il sistema francese / Pier Giorgio Lucifredi, Pasquale Costanzo |
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Pubbl/distr/stampa |
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ISBN |
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Edizione |
[9. ed] |
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Descrizione fisica |
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Altri autori (Persone) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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