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Completeness and the Contraction Principle

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Publication:4748684
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DOI10.2307/2043697zbMath0511.47039OpenAlexW3143258668MaRDI QIDQ4748684

Jonathan M. Borwein

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2043697


zbMATH Keywords

fixed pointEkeland's principlecomplete metric spacecontraction mappingstarshapedLipschitz-connectedconvex subset of a Banach space


Mathematics Subject Classification ID

Fixed-point theorems (47H10)


Related Items

Some remarks on rectifiably connected metric spaces ⋮ Fixed points and completeness in metric and generalized metric spaces ⋮ Starshaped sets ⋮ Stability and regular points of inequality systems ⋮ On uniform Lipschitz-connectedness in metric spaces ⋮ Equivalence of completeness and contraction property ⋮ A generalization of the Banach contraction principle in noncomplete metric spaces



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On the variational principle
  • Multi-valued contraction mappings
  • Nonconvex minimization problems
  • A Characterization of Complete Metric Spaces
  • A fixed point theorem involving a hybrid inwardness-contraction condition
  • Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
  • Caristi's fixed point theorem and metric convexity
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