Fixed point theory and applications / Ravi P. Agarwal, Maria Meehan, Donal O'Regan.

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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 esta...

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Bibliographic Details
Uniform Title:Cambridge tracts in mathematics ; 141.
Main Authors: Agarwal, Ravi P. (Author)
Meehan, Maria (Author)
O'Regan, Donal (Author)
Language:English
Published: Cambridge : Cambridge University Press, 2001.
Series:Cambridge tracts in mathematics ; 141.
Subjects:
Fixed point theory.
Mappings (Mathematics)
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (x, 170 pages) : digital, PDF file(s).
Variant Title:
Fixed Point Theory & Applications.
Format: Electronic eBook
Contents:
  • 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.