Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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FIXED POINTS FOR SOME CONTRACTIVE MAPPING IN PARTIAL METRIC SPACES

  • Kim, Chang Il (Department of Mathematics Education Dankook University) ;
  • Han, Giljun (Department of Mathematics Education Dankook University)
  • Received : 2020.05.11
  • Accepted : 2020.06.22
  • Published : 2020.11.15
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Abstract

Matthews introduced the concepts of partial metric spaces and proved the Banach fixed point theorem in complete partial metric spaces. Dukic, Kadelburg, and Radenovic proved fixed point theorems for Geraghty-type mappings in complete partial metric spaces. In this paper, we prove the fixed point theorem for some contractive mapping in a complete partial metric space.

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References

  1. I. Altun and K. Sadarangani, Generalized Geraghty type mappings on partial metric spaces and fixed point results, Arab J. Math., 2 (2013), 247-253. https://doi.org/10.1007/s40065-013-0073-2
  2. S. Banach, Surles operation dans les ensembles abstraits et leur application aux equation integrals, Fundamenta Mathematicae, 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181
  3. M. Bukatin, R. Kopperman, S. Matthews, and H. Pajoohesh, Partial metric spaces, American Mathematical Monthly, 116 (2009), 708-718. https://doi.org/10.4169/193009709X460831
  4. D. Dukic, Z. Kadelburg, Z. and S. Radenovic, Fixed points of Geraghty-type mappings in various generalized metric spaces, Abstract and Applied Analysis., 2 (2011), 1-13.
  5. S. G. Matthews, Partial metric topology, Research Report 212, Dep. of Computer Science, University of Warwick, 1992.
  6. 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
  7. S. Oltra, and O. Valero, Banach's fixed theorem for partial metric spaces, Rend. Istit. Mat. Univ. Trieste, 36 (2004) 17-26.
  8. D. Paesano and P. Vetro, Suzuki's type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 (2012), 911-920. https://doi.org/10.1016/j.topol.2011.12.008