Fixed point theory and applications /

A clear exposition of the flourishing field of fixed point theory. Most of the main results and techniques are developed, together with applications in analysis. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject...

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Podrobná bibliografie
Hlavní autor: Agarwal, Ravi P.
Další autoři: Meehan, Maria, O'Regan, Donal
Médium: Licensed eBooks
Jazyk:angličtina
Vydáno: Cambridge, UK ; New York, N.Y., USA : Cambridge University Press, 2001.
Edice:Cambridge tracts in mathematics ; 141.
On-line přístup:https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=112344
Obsah:
  • 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.