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Homotopy invariant results on complete gauge spaces

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Publication:4709795
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DOI10.1017/S0004972700033700zbMath1032.47033MaRDI QIDQ4709795

Ravi P. Agarwal, Yeol Je Cho, Donal O'Regan

Publication date: 19 August 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

fixed pointhomotopy invariancegeneralized contractiongauge space


Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)


Related Items

Some periodic and fixed point theorems on quasi-\(b\)-gauge spaces ⋮ \(\mathcal {H}^+\)-multivalued contractions and their application to homotopy theory ⋮ Fixed points of multivalued mappings in partial metric spaces ⋮ Unnamed Item ⋮ Fixed point, data dependence and well-posed problems on \(\mathcal {H}^+\)-metric spaces and their application to homotopy theory ⋮ Periodic and fixed points for Caristi-type \(G\)-contractions in extended \(b\)-gauge spaces



Cites Work

  • Fixed point theory for generalized contractions on spaces with two metrics
  • Fixed point theorems for nonlinear operators
  • Fixed points and stability for a sum of two operators in locally convex spaces
  • Fixed-point theorems for multivalued maps with closed values on complete gauge spaces
  • Unnamed Item
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