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Title

A fixed point result for φ-contractions on b-metric spaces without the boundedness assumption

Authors

Year of publication

2010

Published in

Fasciculi Mathematici

Journal year: 2010 | Journal number: nr 43

Article type

scientific article

Publication language

english

Keywords
EN
  • b-metric space
  • φ-contraction
  • fixed point
  • well-posedness
  • limit shadowing property
Abstract

EN Starting from a result in [V. Berinde,Generalized contractions in quasimetric spaces, Seminar on Fixed Point Theory (Preprint), "Babeş-Bolyai" University of Cluj-Napoca, 3 (1993), 3-9 ], we prove the existence and uniqueness of the fixed points for φ-contractions on b-metric spaces. We also build a theory of this fixed point result.

Pages (from - to)

127 - 137

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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