Fixed Point Theory for Lipschitzian-type Mappings with Applications (Topological Fixed Point Theory and Its Applications, Band 6) - Softcover

Agarwal, Ravi P.; O'Regan, Donal; Sahu, D. R.

Softcover

ISBN 10: 1441926062 ISBN 13: 9781441926067

Verlag: Springer, 2010

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Leonid T. Ashchepkov is a Professor in the Department of Mathematics of the Institute of Mathematics and Computer Technologies at Far Eastern Federal University, Vladivostok, Russi Dmitriy V. Dolgy is a Professor in the Kwangwoon Glocal Education Center at Kwangwoon University, Seoul, Korea & in the Department of Mathematics of the Institute of Mathematics and Computer Technologies at Far Eastern Federal University, Vladivostok, Russia

Taekyun Kim is a Professor in the Department of Mathematics at the College of Natural Science at Kwangwoon University, South Korea.

Ravi P. Agarwal is a Professor and the chair of the Department of Mathematics at Texas A&M University.

Von der hinteren Coverseite

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 1441926062
• ISBN 13: 9781441926067
• Einband: Taschenbuch
• Anzahl der Seiten: 380
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Deutschland