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...

Description complète

Détails bibliographiques
Auteur principal: Agarwal, Ravi P.
Autres auteurs: Meehan, Maria, O'Regan, Donal
Format: Licensed eBooks
Langue:anglais
Publié: Cambridge, UK ; New York, N.Y., USA : Cambridge University Press, 2001.
Collection:Cambridge tracts in mathematics ; 141.
Accès en ligne:https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=112344
Table des matières:
  • 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.