Fixed Point Theory and Applications

Ravi P. Agarwal, Maria Meehan, Donal O'Regan

Cambridge University Press, Mar 22, 2001 - Mathematics - 184 pages

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.

About the author

Agarwal is an environmentalist and photographer.

Department of Mathematics, National University of Ireland, Galway, Ireland.

Bibliographic information

• Title: Fixed Point Theory and Applications; Volume 141 of Cambridge Tracts in Mathematics
• Authors: Ravi P. Agarwal, Maria Meehan, Donal O'Regan
• Edition: illustrated
• Publisher: Cambridge University Press, 2001
• ISBN: 0521802504, 9780521802505
• Length: 184 pages
• Subjects: Mathematics / Algebra / Abstract; Mathematics / Calculus; Mathematics / Probability & Statistics / General