Fixed point theory for lipschitzian-type mappings with applications

In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presen...

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Asıl Yazarlar: Agarwal, Ravi P., 1947-...., mathématicien, O'Regan, Donal, 1959- (Yazar), Sahu, D. R., 19..-...., mathématicien (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: New York, NY : Springer New York : Springer e-books [20..].
Cham : Springer Nature
Seri Bilgileri:Topological Fixed Point Theory and Its Applications 6
Konular:
Online Erişim:Accès sur la plateforme de l'éditeur
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Not: Description d'après consultation du 20 septembre 2011
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Edition sous un autre format:• Fixed point theory for Lipschitzian-type mappings with applications, by Ravi P. Agarwal,... Donal O'Regan,... and D.R. Sahu,..., Dordrecht, Springer, 2009, 1 vol (X-368 p.), Topological fixed point theory and its applications, 978-0-387-75817-6
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245 1 0 |a Fixed point theory for lipschitzian-type mappings with applications   |c by Ravi P. Agarw, Donal O'Regan, D. R. Sahu. 
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504 |a Bibliogr. Index 
505 1 |a Fundamentals Convexity, Smoothness, and Duality Mappings Geometric Coefficients of Banach Spaces Existence Theorems in Metric Spaces Existence Theorems in Banach Spaces Approximation of Fixed Points Strong Convergence Theorems Applications of Fixed Point Theorems 
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506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory 
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700 1 |a Sahu, D. R.,  |d 19..-....,  |c mathématicien.  |4 aut 
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