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Fixed Point Theory and Applications

✍ Scribed by Ravi P. Agarwal, Maria Meehan, Donal O’Regan


Publisher
Cambridge University Press
Year
2001
Tongue
English
Leaves
181
Series
Cambridge Tracts in Mathematics
Edition
1
Category
Library

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✦ Synopsis


This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach's contraction theorem and develops most of the main results and techniques. The book explores many applications of the theory to analysis, with topological considerations playing a crucial role. 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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This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach's contraction theorem and develops most of the main results and techniques. The book explores many applications