DOI QR코드

DOI QR Code

COMMON FIXED POINT OF MAPS IN COMPLETE PARTIAL METRIC SPACES

  • Sedghi, Shaban (Department of Mathematics, Qaemshahr Branch, Islamic Azad University) ;
  • Shobkolaei, Nabiollah (Department of Mathematics, Islamic Azad University, Science and Research Branch)
  • Received : 2012.02.13
  • Accepted : 2012.12.17
  • Published : 2013.01.31

Abstract

In this paper, we prove some common fixed point results for some mappings satisfying generalized contractive condition in complete partial metric space.

Keywords

References

  1. I. Altun and H. Simsek, Some fixed point theorems on dualistic partial metric spaces, J. Adv. Math. Stud., 1 (2008), 1-8.
  2. I. Altun, F. Sola and H. Simsek, Generalized contractions on partial metric spaces, Topology and its Applications 157 (2010), 2778-2785. https://doi.org/10.1016/j.topol.2010.08.017
  3. I. Altun and H. Simsek, Some fixed point theorems on ordered metric spaces and application, Fixed Point Theory and Appl. (2010), Article ID 621492, 17 pages.
  4. I. Beg and A. R. Butt, Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces, Nonlinear Anal. 71 (2009), 3699-3704. https://doi.org/10.1016/j.na.2009.02.027
  5. M. H. Escardo, Pcf Extended with real numbers, Theoretical Computer Sciences ,162 (1996), 79-115. https://doi.org/10.1016/0304-3975(95)00250-2
  6. B. Fisher, Fixed points on two metric spaces, Glasnik. Mat. 16(36) (1981), 333-337.
  7. B. Fisher and P. P. Murthy, Related fixed point theorems for two pairs of mappings on two metric spaces, Kyungpook Math. J. 37 (1997), 343-347.
  8. R. Heckmann, Approximation of metric spaces by partial metric spaces, Appl. Categ. Structures 7 (1999), 71-83. https://doi.org/10.1023/A:1008684018933
  9. E. Karapinar, Generalization of Caristi Kirk's Theorem on partial metric spaces, Fixed Point Theory and Applications (to appear).
  10. S. G. Matthews, Partial metric topology, Proc. 8th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci. 728 (1994), 183-197. https://doi.org/10.1111/j.1749-6632.1994.tb44144.x
  11. V. Popa, A general fixed point theorem for two pairs of mappings on two metric spaces, Novi Sad J. Math. Vol. 35(2) (2005), 79-83.
  12. S. Oltra and O. Valero, Banach's fixed point theorem for partial metric spaces, Rend. Istid. Math. Univ. Trieste 36 (2004), 17-26.
  13. S. Romaguera, A Kirk type characterization of completeness for partial metric spaces, Fixed Point Theory and Applications (2010), Article ID 493298, 6 pp.
  14. O. Valero, On Banach fixed point theorems for partial metric spaces, Appl. General Topology 6 (2005), 229-240. https://doi.org/10.4995/agt.2005.1957

Cited by

  1. Suzuki-Type Fixed Point Results in Metric-Like Spaces vol.2013, pp.1758-4965, 2013, https://doi.org/10.1155/2013/143686