Functional Analysis and Its Applications

, Volume 46, Issue 1, pp 62–65 | Cite as

Quasi-contractions on a nonnormal cone metric space

  • Ljiljana Gajić
  • Vladimir Rakočević
Brief Communications


Ilić and Rakočević [6] proved a fixed point theorem for quasi-contractive mappings on cone metric spaces when the underlying cone is normal. Recently, Z. Kadelburg, S. Radenović, and V. Rakočević obtained a similar result without using the normality condition but only for a contractive constant λ ∈ (0, 1/2) [8]. In this note, using a new method of proof, we prove this theorem for any contractive constant λ ∈ (0, 1).

Key words

Fixed point cone metric space quasi-contraction 


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Institute of Mathematics, Faculty of ScienceUniversity of Novi SadNovi SadSerbia
  2. 2.Faculty of Sciences and Mathematics Department of MathematicsUniversity of NišNišSerbia

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