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Research Article Open access CC BY 4.0

The Kannan’s Fixed Point Theorem in a Cone Hexagonal Metric Spaces

Abba Auwalu, Evren Hınc¸al

Advances in Research · pp. 1–9 · Published 8 Apr 2016

10.9734/AIR/2016/25272

Abstract

In this paper, we prove Kannan’s fixed point theorem in a cone hexagonal metric space. Our result extend and improve the recent result of Jleli and Samet [The Kannan’s fixed point theorem in a cone rectangular metric space, J. Nonlinear Sci. Appl., 2 (2009), 161 - 167], and many existing results in the literature. Example is given showing that our result are proper extensions of the existing ones.

Cone hexagonal metric space fixed point iterative sequence Kannan’s mapping

References (13)

  1. 1 Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales [DOI]
  2. 2 Cone metric spaces and fixed point theorems of contractive mappings [DOI]
  3. 3 Sur quelques points du calcul fonctionnel [DOI]
  4. 4 Some results on fixed points
  5. 5 Some Results on Fixed Points—II [DOI]
  6. 6 Common fixed points for maps on cone metric space [DOI]
  7. 7 Completeness and fixed-points [DOI]
  8. 8 KANNAN FIXED POINT THEOREM ON GENERALIZED METRIC SPACES [DOI]
  9. 9 Banach contraction principle on cone rectangular metric spaces [DOI]
  10. 10 THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE [DOI]
  11. 11 Banach Contraction Principle on Cone Pentagonal Metric Space [DOI]
  12. 12 Banach fixed point theorem in a Cone pentagonal metric spaces [DOI]
  13. 13 Kannan fixed point theorem in a cone pentagonal metric spaces

Cited by 4

A Note on Banach Contraction Mapping principle in Cone Hexagonal Metric Space

Abba Auwalu, Evren Hınçal · Journal of Advances in Mathematics and Computer Science · 2016

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