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Some fixed point theorems in Branciari metric spaces

  • Maher Berzig EMAIL logo , Erdal Karapinar und Antonio F. Roldán-López-de-Hierro
Veröffentlicht/Copyright: 22. September 2017
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 67 Heft 5

Abstract

In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via auxiliary functions in the context of complete Branciari metric spaces endowed with a transitive binary relation. Our results unify and extend some existing fixed point results in the related literature.

MSC 2010: Primary 46T99; Secondary 47H10; 54H25
Keywords: Banach contraction; Branciari metric spaces; generalized metric; fixed point

(Communicated by David Buhagiar)

References

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Received: 2015-7-16
Accepted: 2016-1-8
Published Online: 2017-9-22
Published in Print: 2017-10-26

© 2017 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2017-0042
Schlagwörter für diesen Artikel
Banach contraction; Branciari metric spaces; generalized metric; fixed point

Artikel in diesem Heft

  2. Cyclic and rotational latin hybrid triple systems
  4. Notes on mildly distributive semilattices
  6. On generalized completely distributive posets
  8. Properties of non-associative MV-algebras
  10. On the upper and lower exponential density functions
  12. Quadratic permutations, complete mappings and mutually orthogonal latin squares
  14. On F-groups with the central factor of order p4
  16. Comparison of some families of real functions in porosity terms
  18. Negative interest rates: why and how?
  20. Homoclinic and heteroclinic motions in hybrid systems with impacts
  22. Some fixed point theorems in Branciari metric spaces
  24. S-essential spectra and measure of noncompactness
  26. Unified approach to graphs and metric spaces
  28. On structural properties of porouscontinuous functions
  30. A class of topological spaces between the classes of regular and urysohn spaces
  32. On The betti numbers of oriented Grassmannians and independent semi-invariants of binary forms
  34. Generalized Baskakov type operators
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