East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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SIMULATION FUNCTIONS OVER M-METRIC SPACES

  • Asadi, Mehdi (Department of Mathematics, Zanjan Branch, Islamic Azad University) ;
  • Azhini, Mahdi (Department of Mathematics, Science and Research Branch, Islamic Azad University) ;
  • Karapinar, Erdal (Department of Mathematics, Atilim University) ;
  • Monfared, Hossein (Department of Mathematics, Germi Branch, Islamic Azad University)
  • Received : 2016.10.24
  • Accepted : 2017.09.19
  • Published : 2017.09.30
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Abstract

In this paper, existence of fixed point of certain operators imbedded in simulation function has been investigated in context of a complete M-metric spaces.

Keywords

References

  1. B. Samet, C. Vetro, P. Vetro, Fixed point theorem for ${\alpha}\;-\;\psi$contractive type mappings, Nonlinear Anal. 75 (2012), 2154 - 2165. https://doi.org/10.1016/j.na.2011.10.014
  2. F.Khoasteh, S. Shukla, S. Radenovic, A new approach to the study of fixed point theorems via simulation functions, Filomat 6 (2015), no. 29, 1189-1194.
  3. H.H. Alsulami, E. Karapinar, F. Khojasteh, A.F. Roldan-Lopez-de-Hierro, A proposal to the study of contractions in quasi-metric spaces, Discrete Dynamics in Nature and Society 2014, Article ID 269286, 10 pages.
  4. I. A.Rus, Generalized contractions and applications, Cluj University Press, Cluj-Napoca, 2001.
  5. M. Asadi, E. Karapinar, and P. Salimi, New Extension of p-Metric Spaces with Some fixed point Results on M-metric spaces, Journal of Inequalities and Applications 2014, 2014:18. https://doi.org/10.1186/1029-242X-2014-18
  6. O. Popescu, Some new fixed point theorems for ${\alpha}$-Geraghty contractive type maps in metric spaces, Fixed Point Theory Appl.2014, 2014:190 https://doi.org/10.1186/1687-1812-2014-190
  7. S.G. Matthews, Partial metric topology, Ann. New York Acad. Sci. 728 (1994), 183-197. https://doi.org/10.1111/j.1749-6632.1994.tb44144.x

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