On partial metric spaces and partial cone metric spaces
It this article we shall show that partial metric spaces and partial cone metric spaces are quasi-uniformizable and hence quasi-metrizable. Finally,an application to the Banach’s fixed point theorem will be presented in this context.
Keywords:
Partial metric space, Partial cone metric space, quasi metric space, Quasi uniform space Fixed point,
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- T. Abdeljawad, Quasi cone metric spaces and generalizations of Caristi Kirk’s theorem, Fixed Point Theory and its Applications, 9 pages, ID 574387, 2009.
- M. Asadi, B.E. Rhoades, H. Soleimani, Some note on the paper " The equivalence of cone metric spaces and metric spaces, Fixed point theory and applications, 87, 1 - 4, 2012.
- W-S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal., 72, 2259 - 2261, 2010.
- Z. Ercan, On the end of the cone metric spaces, Topology and its Applications, 166, 10-14, 2014.
- P. Fletcher, W. F. Lindgren, Quasi uniform spaces, Marcel Dekker Inc., New York, 1982.
- R. H. Haghi, Sh. Rezapour, N. Shahad, Be careful on partial metric fixed point results, Topopoly and its Applications 160, 450-454, 2013.
- X. Ge, S. Lin, Completions of partial metric spaces, Topology and its Applications, 182, 16-23, 2015.
- R. Heckmann, Approximation of metric spaces by partial metric spaces, Appl. Cat. Struct. 7, 71 - 83, 1999.
- S. G. Matthews, Partial metric topology, in: Proceedings of the 8th Summer Conference on General Topology and its Applications, Ann. New York Acad. Sci. 728, 183-196, 1994.
- S. Romaguera, A Kirk type characterization of completeness for partial metric spaces, Fixed Point Theory and its Applications, vol 2010, Article ID 493298,6 pages, 2010.
- S. Romaguera, O. Valero, A quantitative computational model for complete partial metric spaces via formal balls, Mathematical Structures in Computer Science, 19, 541-563, 2009.
- F. Shadda, M. S. MD Noorani, Fixed point results in quasi cone metric spaces, Abstract and Applied Analysis, Vol 2013, Article ID 303626 7 pages, 2013.
- A. Sonmez, Fixed point theorems in partial cone metric space, arXiv:1101.2741v1, 2011.
- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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