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Essential and inessential maps and continuation theorems

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Publication:1975288
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DOI10.1016/S0893-9659(99)00169-XzbMath0979.47033MaRDI QIDQ1975288

Ravi P. Agarwal, Donal O'Regan

Publication date: 9 April 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)


zbMATH Keywords

essential mapinessential mapsKrasnoselskii's compression and expansion theorem


Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04)




Cites Work

  • Unnamed Item
  • Existence of ground states with exponential decay for semi-linear elliptic equations in \({\mathbb{R}}^ n\)
  • A note on the existence of multiple fixed points for multivalued maps with applications
  • Multivalued essential maps of approximable and acyclic type
  • An essential map approach for multivalued \(A\)-proper, weakly inward, DKT and weakly closed maps
  • Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations
  • Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
  • Fixed points and random fixed points for weakly inward approximable maps
  • Fixed points of approximable maps




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